Увійти

Готові списки джерел за темами / Discret soliton

Добірка наукової літератури з теми "Discret soliton"

Автор: Grafiati

Опубліковано: 22 червня 2024

Оформте джерело за APA, MLA, Chicago, Harvard та іншими стилями

Оберіть тип джерела:

Ознайомтеся зі списками актуальних статей, книг, дисертацій, тез та інших наукових джерел на тему "Discret soliton".

Біля кожної праці в переліку літератури доступна кнопка «Додати до бібліографії». Скористайтеся нею – і ми автоматично оформимо бібліографічне посилання на обрану працю в потрібному вам стилі цитування: APA, MLA, «Гарвард», «Чикаго», «Ванкувер» тощо.

Також ви можете завантажити повний текст наукової публікації у форматі «.pdf» та прочитати онлайн анотацію до роботи, якщо відповідні параметри наявні в метаданих.

Зміст

Статті в журналах
Дисертації
Книги
Частини книг
Тези доповідей конференцій

Статті в журналах з теми "Discret soliton":

1

Xu, Haitao, Zhelang Pan, Zhihuan Luo, Yan Liu, Suiyan Tan, Zhijie Mai, and Jun Xu. "Zigzag Solitons and Spontaneous Symmetry Breaking in Discrete Rabi Lattices with Long-Range Hopping." Symmetry 10, no. 7 (July 12, 2018): 277. http://dx.doi.org/10.3390/sym10070277.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

A new type of discrete soliton, which we call zigzag solitons, is founded in two-component discrete Rabi lattices with long-range hopping. The spontaneous symmetry breaking (SSB) of zigzag solitons is also studied. Through numerical simulation, we found that by enhancing the intensity of the long-range linearly-coupled effect or increasing the total input power, the SSB process from the symmetric soliton to the asymmetric soliton will switch from the supercritical to subcritical type. These results can help us better understand both the discrete solitons and the Rabi coupled effect.

2

Wang, Yutian, Fanglin Chen, Songnian Fu, Jian Kong, Andrey Komarov, Mariusz Klimczak, Ryszard BuczyČski, Xiahui Tang, Ming Tang, and Luming Zhao. "Nonlinear Fourier transform assisted high-order soliton characterization." New Journal of Physics 24, no. 3 (March 1, 2022): 033039. http://dx.doi.org/10.1088/1367-2630/ac5a86.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Abstract Nonlinear Fourier transform (NFT), based on the nonlinear Schrödinger equation, is implemented for the description of soliton propagation, and in particular focused on propagation of high-order solitons. In nonlinear frequency domain, a high-order soliton has multiple eigenvalues depending on the soliton amplitude and pulse-width. During the propagation along the standard single mode fiber (SSMF), their eigenvalues remain constant, while the corresponding discrete spectrum rotates along with the SSMF transmission. Consequently, we can distinguish the soliton order based on its eigenvalues. Meanwhile, the discrete spectrum rotation period is consistent with the temporal evolution period of the high-order solitons. The discrete spectrum contains nearly 99.99% energy of a soliton pulse. After inverse-NFT on discrete spectrum, soliton pulse can be reconstructed, illustrating that the eigenvalues can be used to characterize soliton pulse with good accuracy. This work shows that soliton characteristics can be well described in the nonlinear frequency domain. Moreover, as a significant supplement to the existing means of characterizing soliton pulses, NFT is expected to be another fundamental optical processing method besides an oscilloscope (measuring pulse time domain information) and a spectrometer (measuring pulse frequency domain information).

3

Teutsch, Ina, Markus Brühl, Ralf Weisse, and Sander Wahls. "Contribution of solitons to enhanced rogue wave occurrence in shallow depths: a case study in the southern North Sea." Natural Hazards and Earth System Sciences 23, no. 6 (June 7, 2023): 2053–73. http://dx.doi.org/10.5194/nhess-23-2053-2023.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Abstract. The shallow waters off the coast of Norderney in the southern North Sea are characterised by a higher frequency of rogue wave occurrences than expected. Here, rogue waves refer to waves exceeding twice the significant wave height. The role of nonlinear processes in the generation of rogue waves at this location is currently unclear. Within the framework of the Korteweg–de Vries (KdV) equation, we investigated the discrete soliton spectra of measured time series at Norderney to determine differences between time series with and without rogue waves. For this purpose, we applied a nonlinear Fourier transform (NLFT) based on the Korteweg–de Vries equation with vanishing boundary conditions (vKdV-NLFT). At measurement sites where the propagation of waves can be described by the KdV equation, the solitons in the discrete nonlinear vKdV-NLFT spectrum correspond to physical solitons. We do not know whether this is the case at the considered measurement site. In this paper, we use the nonlinear spectrum to classify rogue wave and non-rogue wave time series. More specifically, we investigate if the discrete nonlinear spectra of measured time series with visible rogue waves differ from those without rogue waves. Whether or not the discrete part of the nonlinear spectrum corresponds to solitons with respect to the conditions at the measurement site is not relevant in this case, as we are not concerned with how these spectra change during propagation. For each time series containing a rogue wave, we were able to identify at least one soliton in the nonlinear spectrum that contributed to the occurrence of the rogue wave in that time series. The amplitudes of these solitons were found to be smaller than the crest height of the corresponding rogue wave, and interaction with the continuous wave spectrum is needed to fully explain the observed rogue wave. Time series with and without rogue waves showed different characteristic soliton spectra. In most of the spectra calculated from rogue wave time series, most of the solitons clustered around similar heights, but the largest soliton was outstanding, with an amplitude significantly larger than all other solitons. The presence of a clearly outstanding soliton in the spectrum was found to be an indicator pointing towards the enhanced probability of the occurrence of a rogue wave in the time series. Similarly, when the discrete spectrum appears as a cluster of solitons without the presence of a clearly outstanding soliton, the presence of a rogue wave in the observed time series is unlikely. These results suggest that soliton-like and nonlinear processes substantially contribute to the enhanced occurrence of rogue waves off Norderney.

4

SINGER, ANDREW C., and ALAN V. OPPENHEIM. "CIRCUIT IMPLEMENTATIONS OF SOLITON SYSTEMS." International Journal of Bifurcation and Chaos 09, no. 04 (April 1999): 571–90. http://dx.doi.org/10.1142/s0218127499000419.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Recently, a large class of nonlinear systems which possess soliton solutions has been discovered for which exact analytic solutions can be found. Solitons are eigenfunctions of these systems which satisfy a form of superposition and display rich signal dynamics as they interact. In this paper, we view solitons as signals and consider exploiting these systems as specialized signal processors which are naturally suited to a number of complex signal processing tasks. New circuit models are presented for two soliton systems, the Toda lattice and the discrete-KdV equations. These analog circuits can generate and process soliton signals and can be used as multiplexers and demultiplexers in a number of potential soliton-based wireless communication applications discussed in [Singer et al.]. A hardware implementation of the Toda lattice circuit is presented, along with a detailed analysis of the dynamics of the system in the presence of additive Gaussian noise. This circuit model appears to be the first such circuit sufficiently accurate to demonstrate true overtaking soliton collisions with a small number of nodes. The discrete-KdV equation, which was largely ignored for having no prior electrical or mechanical analog, provides a convenient means for processing discrete-time soliton signals.

5

Jia, Yuechen, Yu Lu, Miao Yu, and Hasi Gegen. "M -Breather, Lumps, and Soliton Molecules for the 2 + 1 -Dimensional Elliptic Toda Equation." Advances in Mathematical Physics 2021 (June 24, 2021): 1–18. http://dx.doi.org/10.1155/2021/5211451.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

The 2 + 1 -dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattice and also a discrete version of the Kadomtsev-Petviashvili-1 (KP1) equation. In this paper, we derive the M -breather solution in the determinant form for the 2 + 1 -dimensional elliptic Toda equation via Bäcklund transformation and nonlinear superposition formulae. The lump solutions of the 2 + 1 -dimensional elliptic Toda equation are derived from the breather solutions through the degeneration process. Hybrid solutions composed of two line solitons and one breather/lump are constructed. By introducing the velocity resonance to the N -soliton solution, it is found that the 2 + 1 -dimensional elliptic Toda equation possesses line soliton molecules, breather-soliton molecules, and breather molecules. Based on the N -soliton solution, we also demonstrate the interactions between a soliton/breather-soliton molecule and a lump and the interaction between a soliton molecule and a breather. It is interesting to find that the KP1 equation does not possess a line soliton molecule, but its discrete version—the 2 + 1 -dimensional elliptic Toda equation—exhibits line soliton molecules.

6

Wu, Xiao-Yu, Bo Tian, Lei Liu, and Yan Sun. "Discrete Solitons and Bäcklund Transformation for the Coupled Ablowitz–Ladik Equations." Zeitschrift für Naturforschung A 72, no. 10 (September 26, 2017): 963–72. http://dx.doi.org/10.1515/zna-2017-0196.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

AbstractUnder investigation in this paper are the coupled Ablowitz–Ladik equations, which are linked to the optical fibres, waveguide arrays, and optical lattices. Binary Bell polynomials are applied to construct the bilinear forms and bilinear Bäcklund transformation. Bright/dark one- and two-soliton solutions are also obtained. Asymptotic analysis indicates that the interactions between the bright/dark two solitons are elastic. Amplitudes and velocities of the bright solitons increase as the value of the lattice spacing increases. Increasing value of the lattice spacing can lead to the increase of both the bright solitons’ amplitudes and velocities, and the decrease of the velocities of the dark solitons. The lattice spacing parameter has no effect on the amplitudes of the dark solitons. Overtaking interaction between the unidirectional bright two solitons and a bound state of the two equal-velocity solitons is presented. Overtaking interaction between the unidirectional dark two solitons and the two parallel dark solitons is also plotted.

7

Sekulic, Dalibor L., Natasa M. Samardzic, Zivorad Mihajlovic, and Miljko V. Sataric. "Soliton Waves in Lossy Nonlinear Transmission Lines at Microwave Frequencies: Analytical, Numerical and Experimental Studies." Electronics 10, no. 18 (September 17, 2021): 2278. http://dx.doi.org/10.3390/electronics10182278.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

In this paper, we performed analytical, numerical and experimental studies on the generation of soliton waves in discrete nonlinear transmission lines (NLTL) with varactors, as well as the analysis of the losses impact on the propagation of these waves. Using the reductive perturbation method, we derived a nonlinear Schrödinger (NLS) equation with a loss term and determined an analytical expression that completely describes the bright soliton profile. Our theoretical analysis predicts the carrier wave frequency threshold above which a formation of bright solitons can be observed. We also performed numerical simulations to confirm our analytical results and we analyzed the space–time evolution of the soliton waves. A good agreement between analytical and numerical findings was obtained. An experimental prototype of the lossy NLTL, built at the discrete level, was used to validate our proposed model. The experimental shape of the envelope solitons is well fitted by the theoretical waveforms, which take into account the amplitude damping due to the losses in commercially available varactors and inductors used in a prototype. Experimentally observed changes in soliton amplitude and half–maximum width during the propagation along lossy NLTL are in good accordance with the proposed model defined by NLS equation with loss term.

8

Konyukhov, Andrey I. "Transformation of Eigenvalues of the Zakharov–Shabat Problem under the Effect of Soliton Collision." Izvestiya of Saratov University. New series. Series: Physics 20, no. 4 (2020): 248–57. http://dx.doi.org/10.18500/1817-3020-2020-20-4-248-257.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Background and Objectives: The Zakharov–Shabat spectral problem allows to find soliton solutions of the nonlinear Schrodinger equation. Solving the Zakharov–Shabat problem gives both a discrete set of eigenvalues λj and a continuous one. Each discrete eigenvalue corresponds to an individual soliton with the real part Re(λj) providing the soliton velocity and the imaginary part Im(λj) determining the soliton amplitude. Solitons can be used in optical communication lines to compensate both non-linearity and dispersion. However, a direct use of solitons in return-to-zero signal encoding is inhibited. The interaction between solitions leads to the loss of transmitted data. The problem of soliton interaction can be solved using eigenvalues. The latter do not change when the solitons obey the nonlinear Schrodinger equation. Eigenvalue communication was realized recently using electronic signal processing. To increase the transmission speed the all-optical method for controlling eigenvalues should be developed. The presented research is useful to develop optical methods for the transformation of the eigenvalues. The purpose of the current paper is twofold. First, we intend to clarify the issue of whether the dispersion perturbation can not only split a bound soliton state but join solitons into a short oscillating period breather. The second goal of the paper is to describe the complicated dynamics and mutual interaction of complex eigenvalues of the Zakharov–Shabat spectral problem. Materials and Methods: Pulse propagation in single-mode optical fibers with a variable core diameter can be described using the nonlinear Schrödinger equation (NLSE) which coefficients depends on the evolution coordinate. The NLSE with the variable dispersion coefficient was considered. The dispersion coefficient was described using a hyperbolic tangent function. The NLSE and the Zakharov– Shabat spectral problem were solved using the split-step method and the layer-peeling method, respectively. Results: The results of numerical analysis of the modification of soliton pulses under the effect of variable dispersion coefficient are presented. The main attention is paid to the process of transformation of eigenvalues of the Zakharov–Shabat problem. Collision of two in-phase solitons, which are characterized by two complex eigenvalues is considered. When the coefficients of the nonlinear Schrodinger equation change, the collision of the solitons becomes inelastic. The inelastic collision is characterized by the change of the eigenvalues. It is shown that the variation of the coefficients of the NLSE allows to control both real and imaginary parts of the eigenvalues. Two scenarios for the change of the eigenvalues were identified. The first scenario is characterized by preserving the zero real part of the eigenvalues. The second one is characterized by the equality of their imaginary parts. The transformation of eigenvalues is most effective at the distance where the field spectrum possesses a two-lobe shape. Variation of the NLSE coefficient can introduce splitting or joining of colliding soliton pulses. Conclusion: The presented results show that the eigenvalues can be changed only with a small variation of the NLSE coefficients. On the one hand, a change in the eigenvalues under the effect of inelastic soliton collision is an undesirable effect since the inelastic collision of solitons will lead to unaccounted modulation in soliton optical communication links. On the other hand, the dependence of the eigenvalues on the parameters of the colliding solitons allows to modulate the eigenvalues using all-fiber optical devices. Currently, the modulation of the eigenvalues is organized using electronic devices. Therefore, the transmission of information is limited to nanosecond pulses. For picosecond pulse communication, the development of all-optical modulation methods is required. The presented results will be useful in the development of methods for controlling optical solitons and soliton states of the Bose–Einstein condensate.

9

Zhong, Rong-Xuan, Nan Huang, Huang-Wu Li, He-Xiang He, Jian-Tao Lü, Chun-Qing Huang, and Zhao-Pin Chen. "Matter-wave solitons supported by quadrupole–quadrupole interactions and anisotropic discrete lattices." International Journal of Modern Physics B 32, no. 09 (April 5, 2018): 1850107. http://dx.doi.org/10.1142/s0217979218501072.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

We numerically and analytically investigate the formations and features of two-dimensional discrete Bose–Einstein condensate solitons, which are constructed by quadrupole–quadrupole interactional particles trapped in the tunable anisotropic discrete optical lattices. The square optical lattices in the model can be formed by two pairs of interfering plane waves with different intensities. Two hopping rates of the particles in the orthogonal directions are different, which gives rise to a linear anisotropic system. We find that if all of the pairs of dipole and anti-dipole are perpendicular to the lattice panel and the line connecting the dipole and anti-dipole which compose the quadrupole is parallel to horizontal direction, both the linear anisotropy and the nonlocal nonlinear one can strongly influence the formations of the solitons. There exist three patterns of stable solitons, namely horizontal elongation quasi-one-dimensional discrete solitons, disk-shape isotropic pattern solitons and vertical elongation quasi-continuous solitons. We systematically demonstrate the relationships of chemical potential, size and shape of the soliton with its total norm and vertical hopping rate and analytically reveal the linear dispersion relation for quasi-one-dimensional discrete solitons.

10

Liu, Nan, and Xiao-Yong Wen. "Dynamics and elastic interactions of the discrete multi-dark soliton solutions for the Kaup–Newell lattice equation." Modern Physics Letters B 32, no. 07 (March 5, 2018): 1850085. http://dx.doi.org/10.1142/s0217984918500859.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Under consideration in this paper is the Kaup–Newell (KN) lattice equation which is an integrable discretization of the KN equation. Infinitely, many conservation laws and discrete N-fold Darboux transformation (DT) for this system are constructed and established based on its Lax representation. Via the resulting N-fold DT, the discrete multi-dark soliton solutions in terms of determinants are derived from non-vanishing background. Propagation and elastic interaction structures of such solitons are shown graphically. Overtaking interaction phenomena between/among the two, three and four solitons are discussed. Numerical simulations are used to explore their dynamical behaviors of such multi-dark solitons. Numerical results show that their evolutions are stable against a small noise. Results in this paper might be helpful for understanding the propagation of nonlinear Alfvén waves in plasmas.

Більше джерел

Дисертації з теми "Discret soliton":

1

Lechevalier, Corentin. "Structure des bandes, états propres et dynamique non linéaire dans un réseau photonique fibré." Electronic Thesis or Diss., Université de Lille (2022-....), 2022. http://www.theses.fr/2022ULILR070.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

L'objet des recherches de ce manuscrit est de caractériser la dynamique de la lumière dans un réseau photonique. Les réseau photoniques sont des plateformes dans lesquels la lumière peut se propager et être analysée en détail. Le réseau photonique est composé de deux anneaux fibrés couplés entre eux. L'évolution de la lumière dans ces anneaux est entièrement décrite par une relation. Celle-ci est particulièrement difficile à obtenir dans son intégralité en une seule mesure. Dans notre étude, nous proposons d'associer un dispositif complémentaire qui va servir de référence pour mesurer entièrement et en une seule fois la relation.Une fois que nous mesurons cette relation, nous analysons sa structure pour décrire des propriétés fondamentales du réseau. Notre dispositif expérimental se montre particulièrement efficace pour étudier différentes formes de relation mais surtout des phénomènes physiques complexes comme la formation d'impulsion de forte puissance ou encore l'interaction entre impulsions
The subject of this manuscript's research is based on the characterization the dynamics of light in a photonic lattice. Photonic lattice are platform where light can propagate and be precisely analysed. The photonic lattice studied is formed by two fiber coupled ring. The evolution of light inside the lattice is fully describe by one relation. This one is especially challenging to be measured in a single measure. In our study, we propose to measure the complet relation into a single measure thanks to an add-on device.When the relation is observed, we analyze its structure to describe fundamental propreties of the lattice. Our experimental device offer the possibility to measure various relation but moreover complex physical phenomena such as high pulses formation, coherents structures or pulses interactions

2

Suntsov, Sergiy. "DISCRETE SURFACE SOLITONS." Doctoral diss., University of Central Florida, 2007. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2901.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Surface waves exist along the interfaces between two different media and are known to display properties that have no analogue in continuous systems. In years past, they have been the subject of many studies in a diverse collection of scientific disciplines. In optics, one of the mechanisms through which optical surface waves can exist is material nonlinearity. Until recently, most of the activity in this area was focused on interfaces between continuous media but no successful experiments have been reported. However, the growing interest that nonlinear discrete optics has attracted in the last two decades has raised the question of whether nonlinear surface waves can exist in discrete optical systems. In this work, a detailed experimental study of linear and nonlinear optical wave propagation at the interface between a discrete one-dimensional Kerr-nonlinear system and a continuous medium (slab waveguide) as well as at the interface between two dissimilar waveguide lattices is presented. The major part of this dissertation is devoted to the first experimental observation of discrete surface solitons in AlGaAs Kerr-nonlinear arrays of weakly coupled waveguides. These nonlinear surface waves are found to localize in the channels at and near the boundary of the waveguide array. The key unique property of discrete surface solitons, namely the existence of a power threshold, is investigated in detail. The second part of this work deals with the linear light propagation properties at the interface between two dissimilar waveguide arrays (so-called waveguide array hetero-junction). The possibility of three different types of linear interface modes is theoretically predicted and the existence of one of them, namely the staggered/staggered mode, is confirmed experimentally. The last part of the dissertation is dedicated to the investigation of the nonlinear properties of AlGaAs waveguide array hetero-junctions. The predicted three different types of discrete hybrid surface solitons are analyzed theoretically. The experimental results on observation of in-phase/in-phase hybrid surface solitons localized at channels on either side of the interface are presented and different nature of their formation is discussed.
Ph.D.
Optics and Photonics
Optics and Photonics
Optics PhD

3

Morandotti, Roberto. "Discrete optical solitons." Thesis, University of Glasgow, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.300979.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

4

Hudock, Jared. "OPTICAL WAVE PROPAGATION IN DISCRETE WAVEGUIDE ARRAYS." Doctoral diss., University of Central Florida, 2005. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4119.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

The propagation dynamics of light in optical waveguide arrays is characteristic of that encountered in discrete systems. As a result, it is possible to engineer the diffraction properties of such structures, which leads to the ability to control the flow of light in ways that are impossible in continuous media. In this work, a detailed theoretical investigation of both linear and nonlinear optical wave propagation in one- and two-dimensional waveguide lattices is presented. The ability to completely overcome the effects of discrete diffraction through the mutual trapping of two orthogonally polarized coherent beams interacting in Kerr nonlinear arrays of birefringent waveguides is discussed. The existence and stability of such highly localized vector discrete solitons is analyzed and compared to similar scenarios in a single birefringent waveguide. This mutual trapping is also shown to occur within the first few waveguides of a semi-infinite array leading to the existence of vector discrete surface waves. Interfaces between two detuned semi-infinite waveguide arrays or waveguide array heterojunctions and their possible applications are also considered. It is shown that the detuning between the two arrays shifts the dispersion relation of one array with respect to the other. Consequently, these systems provide spatial filtering functions that may prove useful in future all-optical networks. In addition by exploiting the unique diffraction properties of discrete arrays, diffraction compensation can be achieved in a way analogous to dispersion compensation in dispersion managed optical fiber systems. Finally, it is demonstrated that both the linear (diffraction) and nonlinear dynamics of two-dimensional waveguide arrays are significantly more complex and considerably more versatile than their one-dimensional counterparts. As is the case in one-dimensional arrays, the discrete diffraction properties of these two-dimensional lattices can be effectively altered depending on the propagation Bloch k-vector within the first Brillouin zone. In general, this diffraction behavior is anisotropic and as a result, allows the existence of a new class of discrete elliptic solitons in the nonlinear regime. Moreover, such arrays support two-dimensional vector soliton states, and their existence and stability are also thoroughly explored in this work.
Ph.D.
Other
Optics and Photonics
Optics

5

Syafwan, Mahdhivan. "The existence and stability of solitons in discrete nonlinear Schrödinger equations." Thesis, University of Nottingham, 2012. http://eprints.nottingham.ac.uk/12916/.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

In this thesis, we investigate analytically and numerically the existence and stability of discrete solitons governed by discrete nonlinear Schrödinger (DNLS) equations with two types of nonlinearity, i.e., cubic and saturable nonlinearities. In the cubic-type model we consider stationary discrete solitons under the effect of parametric driving and combined parametric driving and damping, while in the saturable-type model we examine travelling lattice solitons. First, we study fundamental bright and dark discrete solitons in the driven cubic DNLS equation. Analytical calculations of the solitons and their stability are carried out for small coupling constant through a perturbation expansion. We observe that the driving can not only destabilise onsite bright and dark solitons, but also stabilise intersite bright and dark solitons. In addition, we also discuss a particular application of our DNLS model in describing microdevices and nanodevices with integrated electrical and mechanical functionality. By following the idea of the work above, we then consider the cubic DNLS equation with the inclusion of parametric driving and damping. We show that this model admits a number of types of onsite and intersite bright discrete solitons of which some experience saddle-node and pitchfork bifurcations. Most interestingly, we also observe that some solutions undergo Hopf bifurcations from which periodic solitons (limit cycles) emerge. By using the numerical continuation software Matcont, we perform the continuation of the limit cycles and determine the stability of the periodic solitons. Finally, we investigate travelling discrete solitons in the saturable DNLS equation. A numerical scheme based on the discretization of the equation in the moving coordinate frame is derived and implemented using the Newton-Raphson method to find traveling solitons with non-oscillatory tails, i.e., embedded solitons. A variational approximation (VA) is also applied to examine analytically the travelling solitons and their stability, as well as to predict the location of the embedded solitons.

6

Meier, Joachim. "DISCRETE NONLINEAR WAVE PROPAGATION IN KERR NONLINEAR MEDIA." Doctoral diss., University of Central Florida, 2004. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2900.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Discrete optical systems are a subgroup of periodic structures in which the evolution of a continuous electromagnetic field can be described by a discrete model. In this model, the total field is the sum of localized, discrete modes. Weakly coupled arrays of single mode channel waveguides have been known to fall into this class of systems since the late 1960's. Nonlinear discrete optics has received a considerable amount of interest in the last few years, triggered by the experimental realization of discrete solitons in a Kerr nonlinear AlGaAs waveguide array by H. Eisenberg and coworkers in 1998. In this work a detailed experimental investigation of discrete nonlinear wave propagation and the interactions between beams, including discrete solitons, in discrete systems is reported for the case of a strong Kerr nonlinearity. The possibility to completely overcome "discrete" diffraction and create highly localized solitons, in a scalar or vector geometry, as well as the limiting factors in the formation of such nonlinear waves is discussed. The reversal of the sign of diffraction over a range of propagation angles leads to the stability of plane waves in a material with positive nonlinearity. This behavior can not be found in continuous self-focusing materials where plane waves are unstable against perturbations. The stability of plane waves in the anomalous diffraction region, even at highest powers, has been experimentally verified. The interaction of high power beams and discrete solitons in arrays has been studied in detail. Of particular interest is the experimental verification of a theoretically predicted unique, all optical switching scheme, based on the interaction of a so called "blocker" soliton with a second beam. This switching method has been experimentally realized for both the coherent and incoherent case. Limitations of such schemes due to nonlinear losses at the required high powers are shown.
Ph.D.
Other
Optics and Photonics
Optics

7

Zhu, Zuonong. "Lax representations, Hamiltonian structures, infinite conservation laws and integrable discretization for some discrete soliton systems." HKBU Institutional Repository, 2000. http://repository.hkbu.edu.hk/etd_ra/270.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

8

Iwanow, Robert. "DISCRETE WAVE PROPAGATION IN QUADRATICALLY NONLINEAR MEDIA." Doctoral diss., University of Central Florida, 2005. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2904.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Discrete models are used in describing various microscopic phenomena in many branches of science, ranging from biology through chemistry to physics. Arrays of evanescently coupled, equally spaced, identical waveguides are prime examples of optical structures in which discrete dynamics can be easily observed and investigated. As a result of discretization, these structures exhibit unique diffraction properties with no analogy in continuous systems. Recently nonlinear discrete optics has attracted a growing interest, triggered by the observation of discrete solitons in AlGaAs waveguide arrays reported by Eisenberg et al. in 1998. So far, the following experiments involved systems with third order nonlinearities. In this work, an experimental investigation of discrete nonlinear wave propagation in a second order nonlinear medium is presented. This system deserves particular attention because the nonlinear process involves two or three components at different frequencies mutually locked by a quadratic nonlinearity, and new degrees of freedom enter the dynamical process. In the first part of dissertation, observation of the discrete Talbot effect is reported. In contrast to continuous systems, where Talbot self-imaging effect occurs irrespective of the pattern period, in discrete configurations this process is only possible for a specific set of periodicities. The major part of the dissertation is devoted to the investigation of soliton formation in lithium niobate waveguide arrays with a tunable cascaded quadratic nonlinearity. Soliton species with different topology (unstaggered – all channels in-phase, and staggered – neighboring channels with a pi relative phase difference) are identified in the same array. The stability of the discrete solitons and plane waves (modulational instability) are experimentally investigated. In the last part of the dissertation, a phase-insensitive, ultrafast, all-optical spatial switching and frequency conversion device based on quadratic waveguide array is demonstrated. Spatial routing and wavelength conversion of milliwatt signals is achieved without pulse distortions.
Ph.D.
Other
Optics and Photonics
Optics

9

Leschhorn, Günther. "Time-resolved measurements on a single molecular target and Discrete Kink Solitons in Ion traps." Diss., lmu, 2012. http://nbn-resolving.de/urn:nbn:de:bvb:19-139027.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

10

Lundgren, Martin. "Bending, Twisting and Turning : Protein Modeling and Visualization from a Gauge-Invariance Viewpoint." Doctoral thesis, Uppsala universitet, Teoretisk fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-172358.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Proteins in nature fold to one dominant native structure. Despite being a heavily studied field, predicting the native structure from the amino acid sequence and modeling the folding process can still be considered unsolved problems. In this thesis I present a new approach to this problem with methods borrowed from theoretical physics. In the first part I show how it is possible to use a discrete Frenet frame to define the discrete curvature and torsion of the main chain of the protein. This method is then extended to the side chains as well. In particular I show how to use the discrete Frenet frame to produce a statistical distribution of angles that works in similar fashion as the commonly used Ramachandran plot and side chain rotamers. The discrete Frenet frame displays a gauge symmetry, in the choice of basis vectors on the normal plane, that is reminiscent of features of Abelian-Higgs theory. In the second part of the thesis I show how this similarity with Abelian-Higgs theory can be translated into an effective energy for a protein. The loops of the proteins are shown to correspond to solitons so that the whole protein can be constructed by gluing together any number of solitons. I present results of simulating proteins by minimizing the energy, starting from a real line or straight helix, where the correct native fold is attained. Finally the model is shown to display the same phase structure as real proteins.

Більше джерел

Книги з теми "Discret soliton":

1

Greenspan, Donald. Discrete string solitons. Arlington, Tex: University of Texas at Arlington, Dept. of Mathematics, 2001.

Знайти повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

2

Gesztesy, Fritz. Soliton equations and their algebro-geometric solutions: (1+1)-dimensional discrete models. Cambridge, UK: Cambridge University Press, 2008.

Знайти повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

3

Michor, Johanna, Helge Holden, Gerald Teschl, and Fritz Gesztesy. Soliton Equations and Their Algebro-Geometric Solutions: -Dimensional Discrete Models. Cambridge University Press, 2008.

Знайти повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

4

Michor, Johanna, Helge Holden, Gerald Teschl, and Fritz Gesztesy. Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, -Dimensional Discrete Models. Cambridge University Press, 2008.

Знайти повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

5

Michor, Johanna, Helge Holden, Gerald Teschl, and Fritz Gesztesy. Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, -Dimensional Discrete Models. Cambridge University Press, 2008.

Знайти повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

6

Soliton Equations and Their Algebro-Geometric Solutions. Volume II: (1+1)-Dimensional Discrete Models. Cambridge University Press, 2008.

Знайти повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

7

Catapan, Edilson Antonio, ed. Technologies impacts in exact sciences. South Florida Publishing, 2022. http://dx.doi.org/10.47172/sfp2020.ed.0000028.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

The book “Technologies impacts in exact sciences vol.01”, edited and published by South Florida Publishing, brings together six chapters that address topics of relevance in the context of the exact sciences, and the studies will be available in English and Spanish. The book will feature, a study on the response to harmonics of a spring-mass system: Quasi Resonance, an analysis of the response of such a system to harmonics, and, in particular, one in which Quasiresonance is present. Another study that will be discussed is a review of the problems of the analysis of autotransformer discrete alternating voltage regulators. Most often the discrete regulation of AC voltages is achieved by power electronic converters based on a transformer (autotransformer) and switching by the means of controllable semiconductor switches. The third chapter presents an analysis and comparison of the different projects participating in events of invention, innovation, and creativity, based on their characteristics of quality in use, functionality, and usability, through an external metric plan and quality in use. Research on the relationship between Fermat's Last Theorem (FLT) and optical solitons will also be presented. To find such a relationship, the main steps that led to the demonstration of the FLT were examined, starting from the Taniyama-Shimura conjecture, then looking at the contributions of Hellegouarch, Frey, and Ribet and, finally, Wiles' work 6492. Finally, the fifth chapter presents a study on the measurement of air quality in the Patzcuaro lake basin through the use of a perimeter monitoring network. Thus, we thank all authors for their commitment and dedication to their work and we hope to be able to contribute to the scientific community, in the dissemination of knowledge, and the advancement of science.

Частини книг з теми "Discret soliton":

1

Lederer, Falk, Sergey Darmanyan, and Andrey Kobyakov. "Discrete Solitons." In Springer Series in Optical Sciences, 269–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-540-44582-1_10.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

2

Eisenberg, H., and Y. Silberberg. "Discrete Solitons." In Springer Series in Photonics, 323–50. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05144-3_15.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

3

Hikami, Kazuhiro. "Quantum discrete soliton equations." In The Kowalevski Property, 93–120. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/crmp/032/06.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

4

Eilbeck, J. C. "Introduction to the Discrete Self-Trapping Equation." In Davydov’s Soliton Revisited, 473–83. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4757-9948-4_38.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

5

Mingaleev, Serge F., Yuri S. Kivshar, and Rowland A. Sammut. "Discrete Spatial Solitons in Photonic Crystals and Waveguides." In Soliton-driven Photonics, 487–504. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0682-8_50.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

6

Toda, Morikazu. "Solitons in Discrete Systems." In NATO ASI Series, 37–43. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1609-9_5.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

7

Salerno, Mario. "Eigenvalue Statistics and Eigenstate Wigner Functions for the Discrete Self-Trapping Equation." In Davydov’s Soliton Revisited, 511–18. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4757-9948-4_42.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

8

Kenkre, V. M. "The Discrete Nonlinear Schroedinger Equation: Nonadiabatic Effects, Finite Temperature Consequences, and Experimental Manifestations." In Davydov’s Soliton Revisited, 519–20. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4757-9948-4_43.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

9

Salerno, Mario, and Fatkhulla Kh Abdullaev. "Discrete Solitons of the Ginzburg-Landau Equation." In Dissipative Optical Solitons, 303–17. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-97493-0_14.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

10

Cornille, H. "Hierarchies of (1+1)-Dimensional Multispeed Discrete Boltzmann Model Equations." In Solitons and Chaos, 142–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-84570-3_17.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Тези доповідей конференцій з теми "Discret soliton":

1

Bruehl, Markus, Sander Wahls, Ignacio Barranco Granged, and Philipp L. F. Liu. "Analysis of Bore Characteristics Using KdV-Based Nonlinear Fourier Transform." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-19074.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Abstract Bores propagating in shallow water transform into undular bores and, finally, into trains of solitons. The observed number and height of these undulations, and later discrete solitons, is strongly dependent on the propagation length of the bore. Empirical results show that the final height of the leading soliton in the far-field is twice the initial mean bore height. The complete disintegration of the initial bore into a train of solitons requires very long propagation lengths, but unfortunately these required distances are usually not available in experimental tests or nature. Therefore, the analysis of the bore decomposition for experimental data into solitons is difficult and requires further approaches. Previous studies have shown that by application of the nonlinear Fourier transform based on the Korteweg–de Vries equation (KdV-NFT) to bores and long-period waves propagating in constant depth, the number and height of all solitons can be reliably predicted already based on the initial bore-shaped free surface. Against this background, this study presents the systematic analysis of the leading-soliton amplitudes for non-breaking and breaking bores with different strengths in different water depths in order to validate the KdV-NFT results for non-breaking bores, and to show the limitations of wave breaking on the spectral results. The analytical results are compared with data from experimental tests, numerical simulations and other approaches from literature.

2

Boardman, A. D., H. Mehta, R. Putnam, A. Sangarpaul, and J. Arnold. "The consequence of random birefringence in soliton communication systems." In The European Conference on Lasers and Electro-Optics. Washington, D.C.: Optica Publishing Group, 1994. http://dx.doi.org/10.1364/cleo_europe.1994.cwf73.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

The progress towards an optical soliton telecommunication system is now gathering momentum. This means that design criteria for real fibre deployments must be addressed, urgently. Among these is the question of just how birefringence1-4 places limits upon the system performance, in terms of its influence on realistic bit patterns and, therefore, upon soliton interactions. A fibre with a constant birefringence can lead to pulse splitting, and it is possible for a fibre to have a distributed birefringence, either intrinsically or perhaps, through the way the fibre is laid. The role of randomly distributed birefringence over randomly distributed sections will, therefore, occupy most of this presentation. Some new work on fibres with a uniform birefringence will also be included, however. Birefringence has been considered, in principle, in the past, but its detailed influence on soliton interactions and a full, generic simulation involving bit patterns has not been attempted before. Mainly, uniform and Gaussian polarisation distributions have been investigated here, but other, more novel, distributions have also been assessed. The fibre has been modelled as randomly distributed sections, with different properties and randomly distributed lengths. We will show that, for a Gaussian distribution, for example, there is a dramatic influence upon solitonic behaviour. In fact, increasing the variance rate significantly reduces interaction between solitons. Two forms of encoding for the multibit patterns have been used, namely pulse code modulation and pulse position modulation, for which it will be demonstrated that realistic birefringence can cause quite a rapid pattern degeneration. Previous work has not introduced soliton interactions in a realistic model of a fibre, which is imperfect due to unexpected birefringence, so in this report we will delineate the restrictions that this type of defect will place on a model of a real communication system. To do this we will use bright solitons and introduce loss and amplification, with both discrete and distributed gain. We permit noise to be added and consider the bounds of the Gordon-Haus effect by calculating jitter and by producing eye diagrams. Techniques for reducing noise are considered, and the progress of periodic trains of bright or dark solitons is monitored. Bit trains with unequal amplitudes and varying degrees of antiphasing are also followed by computer. The propagation of very short pulses, liable to experience two nonlinear time scales (instantaneous and delayed Raman-type), is also simulated. It will be emphasised that all the work will be presented as generic plots, based upon many hours of computation. They will include depolarisation figures and pulse collapse length in interacting systems as a function of average birefringence parameter and initial electric field vector orientation. Mathematical work will be presented that will demonstrate that the generic plots can be underestood in an elegant, and reasonably quantitative, way. Finally, both space and time effects, leading to optical bullets in birefringence fibres, are analysed for their potential use in future systems.

3

Morandotti, R. "Dynamical properties of discrete solitons in optical waveguide arrays." In IEE Colloquium Optical Solitons. IEE, 1999. http://dx.doi.org/10.1049/ic:19990057.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

4

Chen, Zhigang, Hector Martin, and Demetrios N. Christodoulides. "Discrete solitons/soliton-trains in two-dimensional photonic lattices induced with partially-coherent light." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/nlgw.2004.wb5.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

5

Lederer, F., T. Pertsch, and U. Peschel. "Discrete solitons." In Frontiers in Optics. Washington, D.C.: OSA, 2003. http://dx.doi.org/10.1364/fio.2003.mz1.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

6

Silberberg, Y. "Discrete Solitons." In Nonlinear Optics: Materials, Fundamentals and Applications. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/nlo.2004.mb5.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

7

Koikawa, Takao. "Discrete soliton equation hierarchy." In NONLINEAR AND MODERN MATHEMATICAL PHYSICS: Proceedings of the 2nd International Workshop. AIP, 2013. http://dx.doi.org/10.1063/1.4828684.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

8

Maruno, Ken-ichi, Adrian Ankiewicz, and Nail Akhmediev. "Discrete Dissipative Solitons." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/nlgw.2004.tuc29.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

9

Peschel, U., O. Egorov, and F. Lederer. "Discrete cavity solitons." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/nlgw.2004.wb6.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

10

Talebi Bidhendi, M. Reza, and Ahmad Mohammadpanah. "Solitary Waves in an Array of Nonlinear Oscillators With Time-Periodic Damping and Stiffness Coefficients." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-72545.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

Анотація:

Abstract The localized nonlinear responses of a chain of nonlinear pendulums with time-periodic damping and stiffness coefficients are investigated. The existence conditions and stability of the solitary waves are revisited for the aforementioned system. In essence, the parametrically driven discrete Klein-Gordon equation with time-periodic damping coefficient is converted to a damped parametrically driven discrete nonlinear Schrodinger equation using the method of multiple scales. The numerical simulations show how the stability and characteristics of the solitary waves are modified when the periodically modulated damping coefficient, which is either synchronized or asynchronized with the time-periodic stiffness coefficient, is added. In practice, time-periodic damping coefficient can be treated as a new way to tune the characteristic of the solitons (i.e., required threshold of the soliton activation and the period of oscillations) in the nonlinear periodic structures. This modification may provide some insights towards the control of the energy localization phenomena in nonlinear periodic structures with time-varying coefficients for efficient energy transport/management applications.