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Journal articles on the topic 'Traveling wave'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 March 2023

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1

Seadawy, Aly R. "Three-Dimensional Weakly Nonlinear Shallow Water Waves Regime and its Traveling Wave Solutions." International Journal of Computational Methods 15, no. 03 (April 25, 2018): 1850017. http://dx.doi.org/10.1142/s0219876218500172.

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The problem formulations of models for three-dimensional weakly nonlinear shallow water waves regime in a stratified shear flow with a free surface are studied. Traveling wave solutions are generated by deriving the nonlinear higher order of nonlinear evaluation equations for the free surface displacement. We obtain the velocity potential and pressure fluid in the form of traveling wave solutions of the obtained nonlinear evaluation equation. The obtained solutions and the movement role of the waves of the exact solutions are new travelling wave solutions in different and explicit form such as solutions (bright and dark), solitary wave, periodic solitary wave elliptic function solutions of higher-order nonlinear evaluation equation.

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2

Gao, Li, and Hong Chun Shu. "Application Research on Natural Frequency Method in Single Terminal Traveling Wave Fault Location." Applied Mechanics and Materials 341-342 (July 2013): 1393–96. http://dx.doi.org/10.4028/www.scientific.net/amm.341-342.1393.

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A method is provided to make natural frequency method be applied to single terminal traveling wave fault location in the paper. A group of fault distance suspected is calculated by single terminal method of traveling wave fault location method firstly, then deal with current travelling wave of fault by FFT to get the natural frequency reflecting fault location so that a fault distance can be calculated by it. Contrast the fault distance from natural frequency method and everyone of the group of fault distance suspected from single terminal method of traveling wave fault location method to determine the suspected fault distance closed to it is the calculation results we want. Numerical simulation shows the method can improve effectively the reliability of single terminal traveling wave fault location.

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3

Qin, Shufang, Jun Fan, Haiming Zhang, Junwei Su, and Yi Wang. "Flume Experiments on Energy Conversion Behavior for Oscillating Buoy Devices Interacting with Different Wave Types." Journal of Marine Science and Engineering 9, no. 8 (August 8, 2021): 852. http://dx.doi.org/10.3390/jmse9080852.

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Oscillating buoy device, also known as point absorber, is an important wave energy converter (WEC) for wave energy development and utilization. The previous work primarily focused on the optimization of mechanical design, buoy’s array configuration and the site selection with larger wave energy density in order to improve the wave energy generation performance. In this work, enlightened by the potential availability of Bragg reflection induced by multiple submerged breakwaters in nearshore areas, we investigate the energy conversion behavior of oscillating buoy devices under different wave types (traveling waves, partial and fully standing waves) by flume experiments. The localized partial standing wave field is generated by the Bragg resonance at the incident side of rippled bottoms. Furthermore, the fully standing wave field is generated by the wave reflection of vertical baffle installed in flume. Then the wave power generation performance is discussed under the conditions with the same wave height but different wave types. The experimental measurements show that the energy conversion performance of the oscillating buoy WEC could be improved under the condition of standing waves when compared with traveling waves. This work provides the experimental comparison evidence of wave energy conversion response of oscillating buoy devices between travelling waves and standing (fully or partial) wave conditions.

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4

Yu, Zhi-Xian, and Ming Mei. "Asymptotics and Uniqueness of Travelling Waves for Non-Monotone Delayed Systems on 2D Lattices." Canadian Mathematical Bulletin 56, no. 3 (September 1, 2013): 659–72. http://dx.doi.org/10.4153/cmb-2011-180-4.

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Abstract.We establish asymptotics and uniqueness (up to translation) of travelling waves for delayed 2D lattice equations with non-monotone birth functions. First, with the help of Ikehara’s Theorem, the a priori asymptotic behavior of travelling wave is exactly derived. Then, based on the obtained asymptotic behavior, the uniqueness of the traveling waves is proved. These results complement earlier results in the literature.

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Khuziashev, Rustem, Igor Kuzmin, and Iluza Irkagalieva. "Classification of diagnostic features of transient signals in the electric power industry." E3S Web of Conferences 288 (2021): 01036. http://dx.doi.org/10.1051/e3sconf/202128801036.

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Problems of practical implementation of traveling wave fault location caused by the registration of signals of different nature are considered. Analysis of the experimentally recorded traveling waves made it possible to divide them into 4 groups caused by partial discharges, lightning overvoltages, scheduled switching and fault commutations. The network dispatchers only needs the fault commutation information. Traveling waves recorded near the place of their origin have different meanings of diagnostic signs. The magnitude of the pre-alarm noise, the number of pulses in the signal and the duration of the signal are used as diagnostic indicators. These three diagnostic signs allow one to recognize each of the 4 causes of the travelling waves.

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Feng, Shiqiang, and Dapeng Gao. "Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed." Mathematical Biosciences and Engineering 18, no. 6 (2021): 9357–80. http://dx.doi.org/10.3934/mbe.2021460.

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<abstract><p>This paper is about the existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed. Because of the introduction of nonlocal dispersal and the generality of incidence function, it is difficult to investigate the existence of critical traveling waves. To this end, we construct an auxiliary system and show the existence of traveling waves for the auxiliary system. Employing the results for the auxiliary system, we obtain the existence of traveling waves for the delayed nonlocal dispersal SIR epidemic model with the critical wave speed under mild conditions.</p></abstract>

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7

Jia, Huibin. "An Improved Traveling-Wave-Based Fault Location Method with Compensating the Dispersion Effect of Traveling Wave in Wavelet Domain." Mathematical Problems in Engineering 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/1019591.

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The fault generated transient traveling waves are wide band signals which cover the whole frequency range. When the frequency characteristic of line parameters is considered, different frequency components of traveling wave will have different attenuation values and wave velocities, which is defined as the dispersion effect of traveling wave. Because of the dispersion effect, the rise or fall time of the wavefront becomes longer, which decreases the singularity of traveling wave and makes it difficult to determine the arrival time and velocity of traveling wave. Furthermore, the dispersion effect seriously affects the accuracy and reliability of fault location. In this paper, a novel double-ended fault location method has been proposed with compensating the dispersion effect of traveling wave in wavelet domain. From the propagation theory of traveling wave, a correction function is established within a certain limit band to compensate the dispersion effect of traveling wave. Based on the determined arrival time and velocity of traveling wave, the fault distance can be calculated precisely by utilizing the proposed method. The simulation experiments have been carried out in ATP/EMTP software, and simulation results demonstrate that, compared with the traditional traveling-wave fault location methods, the proposed method can significantly improve the accuracy of fault location. Moreover, the proposed method is insensitive to different fault conditions, and it is adaptive to both transposed and untransposed transmission lines well.

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8

HSU, HSIUNG, TONG-NING LI, and YUE XU. "PHONON EXCITATION IN STIMULATED BRILLOUIN SCATTERING." Journal of Nonlinear Optical Physics & Materials 10, no. 03 (September 2001): 297–303. http://dx.doi.org/10.1142/s0218863501000644.

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Stimulated Brillouin Scattering (SBS) is an example of traveling wave parametric interaction involving photons and phonons. When one of the interacting waves is a backward traveling wave, which yields spatial nonlinear distributed regeneration covering the entire medium, the system exhibits a typical backward traveling wave parametric interaction. It may oscillate with a distinct threshold. The generation of backward traveling light becomes known as optical phase conjugation. In this paper, both pulsed and continuous wave modes of phonon excitations for SBS are described.

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9

Goldstein, Raymond E. "Traveling-Wave Chemotaxis." Physical Review Letters 77, no. 4 (July 22, 1996): 775–78. http://dx.doi.org/10.1103/physrevlett.77.775.

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10

Giboney, K. S., M. J. W. Rodwell, and J. E. Bowers. "Traveling-wave photodetectors." IEEE Photonics Technology Letters 4, no. 12 (December 1992): 1363–65. http://dx.doi.org/10.1109/68.180577.

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11

Kluger‐Bell, Barry. "Traveling wave demonstration." Physics Teacher 33, no. 3 (March 1995): 174–75. http://dx.doi.org/10.1119/1.2344183.

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12

Chen, Yiren. "Periodic Wave Solutions and Their Asymptotic Property for a Modified Fornberg–Whitham Equation." Symmetry 12, no. 9 (September 15, 2020): 1517. http://dx.doi.org/10.3390/sym12091517.

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Recently, periodic traveling waves, which include periodically symmetric traveling waves of nonlinear equations, have received great attention. This article uses some bifurcations of the traveling wave system to investigate the explicit periodic wave solutions with parameter α and their asymptotic property for the modified Fornberg–Whitham equation. Furthermore, when α tends to given parametric values, the elliptic periodic wave solutions become the other three types of nonlinear wave solutions, which include the trigonometric periodic blow-up solution, the hyperbolic smooth solitary wave solution, and the hyperbolic blow-up solution.

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13

Ishide, N., T. Urayama, K. Inoue, T. Komaru, and T. Takishima. "Propagation and collision characteristics of calcium waves in rat myocytes." American Journal of Physiology-Heart and Circulatory Physiology 259, no. 3 (September 1, 1990): H940—H950. http://dx.doi.org/10.1152/ajpheart.1990.259.3.h940.

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In myocytes, local contractions occur spontaneously and propagate as traveling waves. We observed the waves in myocytes as local changes in fura-2 fluorescence and determined some characteristics of the wave. Myocytes were enzymatically isolated from rat left ventricles and incubated with 2 microM fura-2/AM for 60 min. Microscopic fluorescence images of myocytes were recorded with a high-sensitivity video camera. The images were digitally analyzed, frame by frame, and temporal changes in local fluorescence were displayed. With the excitation wavelength at 380 nm, the darker band propagates as the traveling wave. With the excitation wavelength at 340 nm, the wave appears brighter. With the isosbestic wavelength at 360 nm, the wave is not discernible. The waves are thus considered to be traveling waves of change in local cytoplasmic calcium ion concentration (calcium wave). Velocity, amplitude, and width of the calcium waves appeared to be fairly constant during their propagation. When two waves propagating in opposite directions collided, summation of the waves did not occur. After the collision both waves disappeared. These observations support the idea that the waves propagate by inducing calcium release from adjacent sarcoplasmic reticulum. Phenomena observed during the collision indicate that there is a refractory period after the calcium transient; spatially, a refractory zone exists in the wake of the wave.

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14

Zhang, Zhineng, Ling Zheng, Tingfei Yan, and Yao Wu. "1D Numerical Study of Nonlinear Propagation of Finite Amplitude Waves in Traveling Wave Tubes with Varying Cross Section." International Journal of Acoustics and Vibration 25, no. 1 (March 30, 2020): 88–95. http://dx.doi.org/10.20855/ijav.2020.25.11580.

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The nonlinear acoustic problem of a finite amplitude plane wave propagating along the axial direction in a traveling wave tube is studied. Based on the one-dimensional Westervelt equation, a one-dimensional nonlinear wave equation is derived in which the cross section of the traveling wave tube is considered. The two-order finite difference scheme is used to solve the nonlinear wave equation. The nonlinear propagation characteristics of a finite amplitude wave in the traveling wave tube is analyzed. In the expanding transition section, the acoustic pressure amplitude of the acoustic wave decreases with the increase of the cross-sectional area of the pipeline. The nonlinear characteristics of the acoustic wave show waveform distortion and harmonic growth. The waveform distortion becomes more serious in the rear of traveling wave tube than in the front of the tube. Considering the acoustic reflection condition at the mouth, the influence of differently shaped diffusion sections on the acoustic pressure distribution in the test section is investigated. The larger the change rate of the diffusion section in an area, the less amplitude of the sound pressure, and the nonlinear effect of the sound wave propagation is weakened. These nonlinear wave propagation characteristics in a travelling wave tube provide important guidance for both designing a uniform sound pressure distribution in the test section and determining the optimal measuring points for different sizes of structures in spacecraft.

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15

Mao, Xiaopo, Bin Xiang, and Suge Tu. "Research on power penetration cable line fault location based on distributed traveling wave location technology." AIP Advances 12, no. 5 (May 1, 2022): 055024. http://dx.doi.org/10.1063/5.0093049.

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The power penetration line of high-speed railway adopts all-cable lines, and its failure will seriously affect the safety and reliability of railway transportation. The accurate location of the fault will greatly reduce the range of finding the cable fault point and the workload of cable fault repair, shorten the maintenance time, and improve the reliability of high-speed railway power supply. This paper introduces the current situation of power line fault location, analyzes various traveling wave location principles and the traveling wave transmission and attenuation characteristics of all-cable penetration lines, and analyzes the adaptability of the traditional traveling wave location technology in all-cable penetration line fault location. It is proposed that the distributed traveling wave location method can greatly reduce the transmission distance of fault traveling waves and can effectively reduce the influence of attenuation and distortion in the traveling wave transmission process. For different types of fault traveling waves, different fault transition resistances, and different positions of fault points, the method can achieve the accurate location. The practical application case shows that the technology has high location accuracy and meets the requirements of a precise location.

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16

QIN, WEN-XIN. "ABUNDANCE OF TRAVELING WAVES IN COUPLED CIRCLE MAPS." International Journal of Bifurcation and Chaos 10, no. 09 (September 2000): 2061–73. http://dx.doi.org/10.1142/s0218127400001298.

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In this paper we study the existence of traveling waves with any rational velocity in coupled circle maps. We introduce an induced map, then a traveling wave with velocity p/q corresponds to a fixed point of the induced map. Moreover, the stability of a traveling wave is equivalent to that of the corresponding fixed point. Space translational system is chaotic on the set of traveling waves with rational velocities. In addition, time evolution operator exhibits sensitivity-like behavior with respect to initial conditions. By investigating the spatial periodicity of traveling waves, we obtain infinitely many space-time periodic structures. We also consider spatial asymptoticity of these traveling waves, which leads to the existence of fronts, defect solutions and soliton-like solutions. The abundance of traveling waves may be regarded as a signature of the spatial-temporal complexity in extended systems.

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17

Tai, Shih-Lun, and Chih-Kung Lee. "One-dimensional traveling wave type linear piezoelectric moving platform driven by a new two-frequency two-mode excitation method." Smart Materials and Structures 31, no. 3 (February 9, 2022): 035027. http://dx.doi.org/10.1088/1361-665x/ac4db5.

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Abstract The traveling waves of linear traveling wave type piezoelectric motors are not easy to stabilize due to its finite boundary structure. The traditional two-mode excitation method is a method which can excite two modes to generate traveling waves in a finite structure. However, the drawback of the traditional method is that it does not allow for adjustment of the final output velocity. Also, this method is characterized by having low efficiency. The velocity of the generated traveling waves is constant unless the excited modes are changed. In this paper, we propose a novel method, called a two-frequency two-mode excitation method which uses a piezoelectric actuator to simultaneously excite two modes to generate traveling waves. The two frequencies chosen possess a ratio where the excited frequencies are close to two resonant modes. In addition, the two excited frequencies are simultaneously an integer ratio to a specific frequency and have a least one common multiple, as small as possible. This approach can generate stable traveling waves such that the velocity of the traveling waves can be adjusted by the two frequencies. Our theoretical predictions were validated by numerical calculations and experimental data. A Hilbert transform was used to optimize the traveling waves generated. A morphological opening was used to track the traveling wave trajectories. The obtained results show that this method can generate stable traveling waves where the wave velocity can be adjusted by mixing the frequency signals.

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18

Hsu, Yu-Hsiang, Yu-Min Lin, and Chih-Kung Lee. "A two-dimensional piezoelectric traveling wave generator using a multi-integer frequency, two-mode method (MIF-TM)." Smart Materials and Structures 30, no. 12 (November 12, 2021): 125026. http://dx.doi.org/10.1088/1361-665x/ac3432.

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Abstract In this paper, we report a new method called a multi-integer frequency, two-mode (MIF-TM) to generate multi-directional traveling waves on a square plate. The uniqueness of this driving method is threefold. Firstly, as the two driving frequencies are at or near resonant frequencies of the two bending modes, the driving efficiency can be largely enhanced by using structural resonance. Secondly, as the two actuating areas can sufficiently induce traveling waves, each of them is driven by one of the two driving frequencies. It is possible to generate steady traveling waves by making the two driving frequencies possess a multi-integer relationship and with a phase difference. Thirdly, the direction of the traveling wave can be controlled to propagate toward either the x- or y-direction by designing the location and size of the actuating area. To assist in the design of the MIF-TM traveling wave generator, an analytical model was derived to depict the induction of the traveling waves. Using this analytical model, we designed a piezoelectric traveling wave generator with weight of 2.35 g, dimension of 45 × 45 × 0.4 mm piezoelectric bimorph with four designated electrode pairs. It was verified to be either in the positive or negative direction traveling wave as it was controlled by adjusting the phase difference between the two driving frequencies. Our experimental results demonstrated that the generated x-direction traveling wave can move a 0.3 g object at a speed of 1.48 mm s−1, and the generated y-direction travel wave can move this same object at a speed of 1.36 mm s−1. The design, numerical analysis, finite element analysis, and experimental studies are detailed in this paper.

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Piao, Zheyong, Keqiang Wang, Jia Lu, Xiaolong Liang, Pengyang Zhao, and Gang Liu. "Fault Ranging Method for Overhead-Cable Hybrid Distribution Lines Based on CEEDMAN Energy Relative Entropy." Journal of Physics: Conference Series 2422, no. 1 (January 1, 2023): 012010. http://dx.doi.org/10.1088/1742-6596/2422/1/012010.

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Abstract According to the parameter characteristics of cable-overhead line and the folding and reflection process of traveling waves when the wave impedance is discontinuous, a traveling wave abrupt change extraction method based on the empirical mode decomposition of fully adaptive noise ensemble (CEEDMAN) energy relative entropy is proposed for the first time. Through the combination of CEEDMAN and energy relative entropy, the transient traveling wave signals are generated when reflection and refraction occur, and the energy value of traveling waves will change abruptly, and the reflected and refracted wave heads will be captured by the change of relative energy. Combined with the magnitude difference of zero sequence current, the fault area can be determined. Traveling waves have different wave speeds in overhead lines and cable lines, and fault ranging is performed by determining the corresponding propagation speed. Finally, simulation verifies that the method can accurately determine the fault zone with high ranging accuracy under the conditions of different fault locations, different transition resistances and different initial phase angles.

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20

Tang, Fei, Zi Lin Yan, and Xiao Hao Wang. "Experimental Research on Lift up and Drag Reduction Effect of Streamwise Travelling Wave Wall." Key Engineering Materials 483 (June 2011): 721–26. http://dx.doi.org/10.4028/www.scientific.net/kem.483.721.

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Travelling wave wall used for Micro Air Vehicle flow control is studied to find out its drag reduction effect. Aerodynamic characteristics of the airfoil with and without a streamwise travelling wave on its surface are calculated. The interrelationship is also analyzed among lift, drag and ratio of motion phase speed to the external flow velocity. The flexible airfoil that can generate streamwise travelling waves is realized via electromagnetic coil actuation. Thirty-six coils are placed streamwisely under heat shrink film and magnets producing magnetic field are placed under coils. Every single coil is controlled by current to move vertically in harmonic motion with 30 degrees phase difference between adjacent ones. So heat shrink film is actuated, and streamwise travelling wave is generated. Meanwhile, a prototype is designed and tested in wind tunnel. The experimental aerodynamic data proves that streamwise traveling wave airfoil can increase lift and reduce air drag.

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21

Cha, Louis Dongbing, and Arick Shao. "Global stability of traveling waves for (1 + 1)-dimensional systems of quasilinear wave equations." Journal of Hyperbolic Differential Equations 19, no. 04 (December 2022): 549–86. http://dx.doi.org/10.1142/s0219891622500163.

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A key feature of [Formula: see text]-dimensional nonlinear wave equations is that they admit left or right traveling waves, under appropriate algebraic conditions on the nonlinearities. In this paper, we prove global stability of such traveling wave solutions for [Formula: see text]-dimensional systems of nonlinear wave equations, given a certain asymptotic null condition and sufficient decay for the traveling wave. We first consider semilinear systems as a simpler model problem; we then proceed to treat more general quasilinear systems.

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22

Rouvalis, Efthymios, Cyril C. Renaud, David G. Moodie, Michael J. Robertson, and Alwyn J. Seeds. "Traveling-wave Uni-Traveling Carrier Photodiodes for continuous wave THz generation." Optics Express 18, no. 11 (May 11, 2010): 11105. http://dx.doi.org/10.1364/oe.18.011105.

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23

Shi, Yangang, Tao Zheng, and Chang Yang. "Reflected Traveling Wave Based Single-Ended Fault Location in Distribution Networks." Energies 13, no. 15 (July 31, 2020): 3917. http://dx.doi.org/10.3390/en13153917.

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Traveling wave (TW)-based fault-location methods have been used to determine single-phase-to-ground fault distance in power-distribution networks. The previous approaches detected the arrival time of the initial traveling wave via single ended or multi-terminal measurements. Regarding the multi-branch effect, this paper utilized the reflected waves to obtain multiple arriving times through single ended measurement. Potential fault sections were estimated by searching for the possible traveling wave propagation paths in accordance with the structure of the distribution network. This approach used the entire propagation of a traveling wave measured at a single end without any prerequisite of synchronization, which is a must in multi-terminal measurements. The uniqueness of the fault section was guaranteed by several independent single-ended measurements. Traveling waves obtained in a real 10 kV distribution network were used to determine the fault section, and the results demonstrate the significant effectiveness of the proposed method.

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24

Wu, Xin, and Zhaohai Ma. "Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay." Open Mathematics 20, no. 1 (January 1, 2022): 1451–69. http://dx.doi.org/10.1515/math-2022-0508.

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Abstract This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al. [Traveling waves for a nonlocal dispersal SIR model with delay and external supplies, Appl. Math. Comput. 247 (2014), 723–740]. We prove that the traveling wave solution is exponentially stable when the initial perturbation around the traveling wave is relatively small in a weighted norm. The time decay rate is also obtained by weighted-energy estimates.

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Grant, Daniel A., Ellen Hollander, Elizabeth M. Skuza, and Jean-Claude Fauchère. "Interactions between the right ventricle and pulmonary vasculature in the fetus." Journal of Applied Physiology 87, no. 5 (November 1, 1999): 1637–43. http://dx.doi.org/10.1152/jappl.1999.87.5.1637.

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A midsystolic plateau differentiates the pattern of fetal pulmonary trunk blood flow from aortic flow. To determine whether this plateau arises from interactions between the left (LV) and right ventricle (RV) via the ductus arteriosus or from interactions between the RV and the lung vasculature, we measured blood flows and pressures in the pulmonary trunk and aorta of eight anesthetized (ketamine and α-chloralose) fetal lambs. Wave-intensity analysis revealed waves of energy traveling forward, away from the LV and the RV early in systole. During midsystole, a wave of energy traveling back toward the RV decreased blood flow velocity from the RV and produced the plateau in blood flow. Calculations revealed that this backward-traveling wave originated as a forward-traveling wave generated by the RV that was reflected from the lung vasculature back toward the heart and not as a forward-traveling wave generated by the LV that crossed the ductus arteriosus. Elimination of this backward-traveling wave and its associated effect on RV flow may be an important component of the increase in RV output that accompanies birth.

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Xiang, Chun Huan, Bo Liang, and Hong Lei Wang. "The G′/G-Expansion Method for Solutions of Evolution Equations." Advanced Materials Research 940 (June 2014): 425–28. http://dx.doi.org/10.4028/www.scientific.net/amr.940.425.

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The investigation about traveling wave solutions of nonlinear equations is an important and interesting subject because they play important role in understanding the nonlinear problems. By using the (G′/G)-expansion method proposed recently, we construct the travelling wave solutions involving parameters for the Hirota and Satsuma equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The numerical simulation figures are shown.

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Hio, Yasuko, and Shigeo Yoden. "Quasi-Periodic Variations of the Polar Vortex in the Southern Hemisphere Stratosphere Due to Wave–Wave Interaction." Journal of the Atmospheric Sciences 61, no. 21 (November 1, 2004): 2510–27. http://dx.doi.org/10.1175/jas3257.1.

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Abstract The winter polar vortex in the Southern Hemisphere stratosphere is characterized by prominent quasi-stationary planetary waves: zonal wavenumber 1 (wave 1) and the eastward-traveling wave (wave 2). Quasi-periodic variations of the polar vortex are investigated in terms of the wave–wave interaction between wave 1 and wave 2 with both the NCEP–NCAR reanalysis dataset from 1979 to 2002 and a spherical barotropic model. A typical case shows that the transient wave 1 generated by the wave–wave interaction has comparable amplitude to those of the stationary wave 1 and the traveling wave 2, and has a node around 60°S, where these primary waves have large amplitude. The transient wave 1 travels eastward with the same angular frequency as that of the traveling wave 2. The polar night jet also vacillates with the same frequency such that it has its minimum when the stationary wave 1 and the transient wave 1 are in phase at the polar side of the node. The vacillation is basically due to quasi-periodic variations of the wave driven by the interference between the stationary and traveling wave 1s. Similar periodic variations of the polar vortex are obtained in the model experiment here, in the circumstance that stationary wave 1 generated by surface topography has comparable amplitude to the eastward-traveling wave 2 that is generated by the barotropic instability of a forced mean zonal wind. The winter polar vortex shows large interannual variability. Similar quasi-periodic variations due to wave– wave interaction often occurred for the 24 yr in late winter when the transient wave 2 was vigorous.

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Li, Zongguang, and Rui Liu. "Bifurcations and Exact Solutions in a Nonlinear Wave Equation." International Journal of Bifurcation and Chaos 29, no. 07 (June 30, 2019): 1950098. http://dx.doi.org/10.1142/s0218127419500986.

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The dynamical model of a nonlinear wave is governed by a partial differential equation which is a special case of the [Formula: see text]-family equation. Its traveling system is a singular system with a singular straight line. On this line, there exist two degenerate nodes of the associated regular system. By using the method of dynamical systems and the theory of singular traveling wave systems, in this paper we show that, corresponding to global level curves, this wave equation has global periodic wave solutions and anti-solitary wave solutions. We obtain their exact representations. Specially, we discover some new phenomena. (i) Infinitely many periodic orbits of the traveling wave system pass through the singular straight line. (ii) Inside some homoclinic orbits of the traveling wave system there is not any singular point. (iii) There exist periodic wave bifurcation and double anti-solitary waves bifurcation.

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Muzzammel, Raheel, Ali Raza, Mohammad Rashid Hussain, Ghulam Abbas, Ishtiaq Ahmed, Mohammed Qayyum, Mohammad Ashiquee Rasool, and Mohammed Abdul Khaleel. "MT–HVdc Systems Fault Classification and Location Methods Based on Traveling and Non-Traveling Waves—A Comprehensive Review." Applied Sciences 9, no. 22 (November 7, 2019): 4760. http://dx.doi.org/10.3390/app9224760.

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Estimation of fault classification and location in a multi-terminal high voltage direct current (MT–HVdc) transmission system is a challenging problem and is considered to be a fundamental maneuver of dc grid protection. This research paper critically reviews traveling and non-travelling wave methods of classification and location of dc faults in multi-terminal HVdc transmission systems. Detailed mathematical analysis of MT–HVdc systems composed of high grounding resistance, cable and overhead line segments, and bipolar coupled transmission network under healthy and faulty conditions, are evaluated. The gravity of this research paper addresses benefits and shortcomings of traveling and non-traveling wave methods and futuristic techniques of fault classification and location.

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Xia, Juan. "Design of Traveling Wave Location Method for Transmission Line Fault Based on EMD-TEO." Frontiers of Mechatronical Engineering 2, no. 3 (October 15, 2020): 73. http://dx.doi.org/10.18282/fme.v2i3.1271.

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<p>With the rapid development of the social economy and the continuous extension of Internet technology, China’s power grid has entered the ranks of large-scale, high-voltage, and intelligent. The main purpose of the fault location of the transmission line is to eliminate hidden trouble and restore the fault line in time to ensure the safe and stable operation of the power system. With the advent of the smart grid, higher requirements are put forward for fault location accuracy, while the traditional wavelet transform and Hilbert-Huang transform have larger defects.</p><p>Therefore, this paper extensively analyses the generation and characteristics of fault traveling waves in transmission line fault, which proves that the traveling wave location method has higher location accuracy than the fault analysis method. Among them, the two-terminal traveling wave positioning method only uses the arrival time of the initial traveling wave, avoiding the principled defects and locating the dead zone of the single-terminal traveling wave positioning method, so the two-terminal traveling wave positioning method is generally used. The key of the two-terminal traveling wave location method is that it can accurately detect the arrival time of the initial traveling wave head. Although the Hilbert-Huang Transform (HHT) method can be used to detect the arrival time of the initial traveling wave head, the problem of inaccurate detection or failure of the wave head may arise when the instantaneous frequency of the IMF component decomposed by the Hilbert-Huang transform is used because of the mode aliasing in the empirical mode decomposition algorithm. Based on the above analysis, an empirical mode decomposition (EMD) combined with the Teager energy operator(TEO) is proposed for the traveling wave fault location of transmission lines. A large number of simulations prove that the EMD-TEO method in this paper can solve the problem of inaccuracy or failure of the HHT method using instantaneous frequency to detect the arrival time of wave head, and has higher fault location accuracy.</p>

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31

Durur, Hülya, Asıf Yokuş, and Kashif Ali Abro. "Computational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study." Nonlinear Engineering 10, no. 1 (January 1, 2021): 272–81. http://dx.doi.org/10.1515/nleng-2021-0021.

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Abstract Computational and travelling wave solutions provide significant improvements in accuracy and characterize novelty of imposed techniques. In this context, computational and travelling wave solutions have been traced out for Tzitzéica and Dodd-Bullough-Mikhailov equations by means of (1/G′)-expansion method. The different types of solutions have constructed for Tzitzéica and Dodd-Bullough-Mikhailov equations in hyperbolic form. Moreover, solution function of Tzitzéica and Dodd-Bullough-Mikhailov equations has been derived in the format of logarithmic nature. Since both equations contain exponential terms so the solutions produced are expected to be in logarithmic form. Traveling wave solutions are presented in different formats from the solutions introduced in the literature. The reliability, effectiveness and applicability of the (1/G′)-expansion method produced hyperbolic type solutions. For the sake of physical significance, contour graphs, two dimensional and three dimensional graphs have been depicted for stationary wave. Such graphical illustration has been contrasted for stationary wave verses traveling wave solutions. Our graphical comparative analysis suggests that imposed method is reliable and powerful method for obtaining exact solutions of nonlinear evolution equations.

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32

Bruell, Gabriele, Piotr Idzik, and Wolfgang Reichel. "Traveling waves for a quasilinear wave equation." Nonlinear Analysis 225 (December 2022): 113115. http://dx.doi.org/10.1016/j.na.2022.113115.

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33

Webb, G. M., R. H. Burrows, X. Ao, and G. P. Zank. "Ion acoustic traveling waves." Journal of Plasma Physics 80, no. 2 (January 15, 2014): 147–71. http://dx.doi.org/10.1017/s0022377813001013.

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AbstractModels for traveling waves in multi-fluid plasmas give essential insight into fully nonlinear wave structures in plasmas, not readily available from either numerical simulations or from weakly nonlinear wave theories. We illustrate these ideas using one of the simplest models of an electron–proton multi-fluid plasma for the case where there is no magnetic field or a constant normal magnetic field present. We show that the traveling waves can be reduced to a single first-order differential equation governing the dynamics. We also show that the equations admit a multi-symplectic Hamiltonian formulation in which both the space and time variables can act as the evolution variable. An integral equation useful for calculating adiabatic, electrostatic solitary wave signatures for multi-fluid plasmas with arbitrary mass ratios is presented. The integral equation arises naturally from a fluid dynamics approach for a two fluid plasma, with a given mass ratio of the two species (e.g. the plasma could be an electron–proton or an electron–positron plasma). Besides its intrinsic interest, the integral equation solution provides a useful analytical test for numerical codes that include a proton–electron mass ratio as a fundamental constant, such as for particle in cell (PIC) codes. The integral equation is used to delineate the physical characteristics of ion acoustic traveling waves consisting of hot electron and cold proton fluids.

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34

ZHOU, YUQIAN, QIAN LIU, and WEINIAN ZHANG. "BOUNDED TRAVELING WAVES OF THE GENERALIZED BURGERS–FISHER EQUATION." International Journal of Bifurcation and Chaos 23, no. 03 (March 2013): 1350054. http://dx.doi.org/10.1142/s0218127413500545.

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In this paper, bounded traveling waves of a generalized Burgers–Fisher equation are investigated. By studying some complicated local and nonlocal bifurcations such as the Hopf bifurcation, homoclinic bifurcation, heteroclinic bifurcation and Poincaré bifurcation of the corresponding traveling wave system, we obtain sufficient conditions to guarantee the existence of different kinds of bounded traveling waves, including solitary waves, kink waves and periodic waves. Further, we discuss the existence of various oscillatory bounded traveling waves.

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35

Zhang, Xiaojun, Bo Zhang, Suzhou Wu, Chao Li, and Zeyang Lei. "A new algorithm for precise location of power cable fault based on zero phase filter." Journal of Physics: Conference Series 2189, no. 1 (February 1, 2022): 012020. http://dx.doi.org/10.1088/1742-6596/2189/1/012020.

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Abstract In order to improve the fault location accuracy of power cables, the two-side method is used for fault location. The main factors affecting the cable fault accuracy of the double-ended fault location method are the wave speed of traveling waves transmitted in the cable and the time difference between the traveling waves arriving at the monitoring equipment. In fact, traveling wave signals with different frequencies propagate at different wave speeds, and the use of fixed wave speeds for positioning calculations will inevitably cause positioning errors. First, the center frequency spectrum method is used to calculate the wave speed, and different wave speeds are used for different types of cables, so as to reduce the positioning error caused by the wave speed. Then, the devices on both sides use high-precision GPS to synchronize the time to reduce the natural error. For the time difference between the detected traveling waves reaching the devices on both sides, the triangle algorithm can be used to find the starting point for time difference calculation, thereby constructing a new cable fault location algorithm. Finally, a large number of PSCAD simulations and field discharge tests of cable grounding were carried out. The simulation results and test results verified the feasibility and superiority of this algorithm.

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36

Knott, E. F. "Traveling wave lobe locations." IEEE Transactions on Antennas and Propagation 38, no. 11 (1990): 1859–62. http://dx.doi.org/10.1109/8.102751.

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37

Cloud, S. D. "Oscilloscope traveling wave experiment." Physics Teacher 23, no. 3 (March 1985): 157–58. http://dx.doi.org/10.1119/1.2341754.

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Ghamsari, Behnood G., and A. Hamed Majedi. "Superconductive Traveling-Wave Photodetectors." IEEE Transactions on Applied Superconductivity 19, no. 3 (June 2009): 371–75. http://dx.doi.org/10.1109/tasc.2009.2020571.

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39

Elliott, D. G. "Traveling-wave induction launchers." IEEE Transactions on Magnetics 25, no. 1 (1989): 159–63. http://dx.doi.org/10.1109/20.22526.

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40

Giboney, K. S., J. W. Rodwell, and J. E. Bowers. "Traveling-wave photodetector theory." IEEE Transactions on Microwave Theory and Techniques 45, no. 8 (1997): 1310–19. http://dx.doi.org/10.1109/22.618429.

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41

UEDA, Yuki, and Chisachi KATO. "Traveling-Wave Thermoacoustic Refrigerator." Transactions of the Japan Society of Mechanical Engineers Series B 73, no. 727 (2007): 839–46. http://dx.doi.org/10.1299/kikaib.73.839.

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42

Vlasov, S. N., and E. V. Koposova. "Traveling-Wave Echelette Cavity." Radiophysics and Quantum Electronics 56, no. 10 (March 2014): 658–63. http://dx.doi.org/10.1007/s11141-014-9470-4.

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43

Kurin, V. V., N. K. Vdovicheva, and I. A. Shereshevskii. "Josephson Traveling-Wave Antennas." Radiophysics and Quantum Electronics 59, no. 11 (April 2017): 922–36. http://dx.doi.org/10.1007/s11141-017-9762-6.

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44

LI, TONG, and ZHI-AN WANG. "NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS." Mathematical Models and Methods in Applied Sciences 20, no. 11 (November 2010): 1967–98. http://dx.doi.org/10.1142/s0218202510004830.

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Traveling wave (band) behavior driven by chemotaxis was observed experimentally by Adler1,2 and was modeled by Keller and Segel.15 For a quasilinear hyperbolic–parabolic system that arises as a non-diffusive limit of the Keller–Segel model with nonlinear kinetics, we establish the existence and nonlinear stability of traveling wave solutions with large amplitudes. The numerical simulations are performed to show the stability of the traveling waves under various perturbations.

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45

Sharify, Esmatullah Maiwand, and Shinya Hasegawa. "Traveling-wave thermoacoustic refrigerator driven by a multistage traveling-wave thermoacoustic engine." Applied Thermal Engineering 113 (February 2017): 791–95. http://dx.doi.org/10.1016/j.applthermaleng.2016.11.021.

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46

LI, JIBIN, XIAOHUA ZHAO, and GUANRONG CHEN. "BREAKING WAVE SOLUTIONS TO THE SECOND CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS." International Journal of Bifurcation and Chaos 19, no. 04 (April 2009): 1289–306. http://dx.doi.org/10.1142/s0218127409023639.

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The existence of breaking wave solutions of the second class of singular nonlinear wave equations is proved by methods from the dynamical systems theory. For the second class of singular nonlinear traveling wave equations, dynamical behaviors of the traveling wave solutions are completely classified and thoroughly discussed. Corresponding to some bounded orbits of the traveling systems, exact parametric representations of traveling wave solutions are derived within different parameter regions of the parameter space.

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47

Watt-Meyer, Oliver, and Paul J. Kushner. "Decomposition of Atmospheric Disturbances into Standing and Traveling Components, with Application to Northern Hemisphere Planetary Waves and Stratosphere–Troposphere Coupling." Journal of the Atmospheric Sciences 72, no. 2 (February 1, 2015): 787–802. http://dx.doi.org/10.1175/jas-d-14-0214.1.

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Abstract This study updates a body of literature that aims to separate atmospheric disturbances into standing and traveling zonal wave components. Classical wavenumber–frequency analysis decomposes longitude- and time-dependent signals into contributions from distinct spatial and temporal scales. Here, an additional decomposition of the spectrum into standing and traveling components is described. Previous methods decompose the power spectrum into standing and traveling parts with no explicit allowance for covariance between the two. This study provides a simple method to calculate the variance of each of these components and the covariance between them. It is shown that this covariance is typically a significant portion of the variance of the total signal. The approach also preserves phase information and allows for the reconstruction of the real-space standing and traveling components. The technique is applied to reanalysis wintertime geopotential height anomalies in the Northern Hemisphere in order to investigate planetary wave interference effects in stratosphere–troposphere coupling. The results show that for planetary waves 1–3, standing waves explain the largest portion of the variance at low frequencies. An exception is for wave 1 in the high-latitude troposphere, where there is a strong westward-traveling wave. Furthermore, the antinodes of the standing waves have preferred longitudes that tend to align with the extremes of the climatological wave, suggesting that standing waves contribute to a linear interference effect that has been shown to be an important part of stratosphere–troposphere interactions.

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48

Wu, Weixin, and Zhidong Teng. "Periodic wave propagation in a diffusive SIR epidemic model with nonlinear incidence and periodic environment." Journal of Mathematical Physics 63, no. 12 (December 1, 2022): 122701. http://dx.doi.org/10.1063/5.0109312.

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The aim of this paper is to study the periodic traveling wave solutions in a nonautonomous reaction-diffusion susceptible-infected-removed epidemic model with general nonlinear incidence and time-periodic environment. The basic reproduction number [Formula: see text] and the critical wave speed c* are defined. By the fixed-point theorem and upper–lower solutions, the sufficient conditions for the existence of traveling waves satisfying some asymptotic boundary conditions are deduced, and the nonexistence of periodic traveling waves is also obtained. Numerical simulations are carried out to support the theoretical results.

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MOUSA, H. M., and M. M. SHABAT. "NONLINEAR TE SURFACE WAVES IN A LEFT-HANDED MATERIAL AND SUPER LATTICES WAVE-GUIDE STRUCTURE." International Journal of Modern Physics B 21, no. 06 (March 10, 2007): 895–906. http://dx.doi.org/10.1142/s0217979207036746.

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The paper is concerned with the propagation characteristics of TE surface waves in a planar wave-guide structure of a lateral antiferromagnetic-non magnetic super lattices (LANS) film bounded by a nonlinear dielectric cover and a left-handed substrate (LHM). In LHM substrate both permittivity and magnetic permeability are negative in definite frequency range. We study nonlinear dispersion properties of the TE surface waves and illustrate the power flow variation with the wave index in three different cases, i.e., when both permittivity and magnetic permeability are negative, when permittivity is negative and permeability is positive, and when both permittivity and magnetic permeability are positive. In the first case, we found that surface waves are backward traveling and the wave power variation with the wave index shows bistability behavior. We also found that by increasing the film thickness the waves turn from forward to backward traveling in the second case. In the third case, surface waves are always forward traveling.

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50

Zhou, Yuqian, Shanshan Cai, and Qian Liu. "Bounded Traveling Waves of the (2+1)-Dimensional Zoomeron Equation." Mathematical Problems in Engineering 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/163597.

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The bifurcation method of dynamical system and numerical simulation method of differential equation are employed to investigate the (2+1)-dimensional Zoomeron equation. We obtain the parameter bifurcation sets that divide the parameter space into different regions which correspond to qualitatively different phase portraits. According to these phase portraits, all bounded traveling waves are identified and simulated, including solitary wave solutions, shock wave solutions, and periodic wave solutions. Furthermore, all exact expressions of these bounded traveling waves are given. Among them, the elliptic function periodic wave solutions are new solutions.

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