Relevant bibliographies by topics / Solitary waves

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Solitary waves'

Author: Grafiati
Published: 4 June 2021
Last updated: 21 February 2023

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Journal articles on the topic "Solitary waves"

1

Fitzgerald, Richard J. "Interacting solitary waves." Physics Today 65, no. 11 (November 2012): 20. http://dx.doi.org/10.1063/pt.3.1777.

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Weidman, P. D., and R. Zakhem. "Cylindrical solitary waves." Journal of Fluid Mechanics 191, no. -1 (June 1988): 557. http://dx.doi.org/10.1017/s0022112088001703.

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Mason, Joanne, and Edgar Knobloch. "Solitary dynamo waves." Physics Letters A 355, no. 2 (June 2006): 110–17. http://dx.doi.org/10.1016/j.physleta.2006.02.013.

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Qureshi, M. N. S., Jian Kui Shi, and H. A. Shah. "Electrostatic Solitary Waves." Journal of Fusion Energy 31, no. 2 (June 14, 2011): 112–17. http://dx.doi.org/10.1007/s10894-011-9439-7.

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Weidman, P. D., and M. G. Velarde. "Internal Solitary Waves." Studies in Applied Mathematics 86, no. 2 (February 1992): 167–84. http://dx.doi.org/10.1002/sapm1992862167.

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Chen, X. N., and W. Maschek. "Nuclear solitary waves." PAMM 8, no. 1 (December 2008): 10489–90. http://dx.doi.org/10.1002/pamm.200810489.

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Lubin, Pierre, and Stéphane Glockner. "NUMERICAL SIMULATIONS OF BREAKING SOLITARY WAVES." Coastal Engineering Proceedings 1, no. 33 (September 28, 2012): 59. http://dx.doi.org/10.9753/icce.v33.waves.59.

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This paper presents the application of a parallel numerical code to breaking solitary waves impacting a seawall structure. The three-dimensional Navier-Stokes equations are solved in air and water, coupled with a subgrid-scale model to take turbulence into account. We compared three numerical methods for the free-surface description, using the classical VOF-PLIC and VOF-TVD methods, and an original VOF-SM method recently developed in our numerical tool (Vincent et al., 2010). Some experimental data for solitary waves impinging and overtopping coastal structures are available in literature (Hsiao et al., 2010). Solitary waves are often used to model tsunami behaviors because of their hydrodynamic similarities. From a numerical point of view, it allows shorter CPU time simulations, as only one wave breaks. Here we apply the model to simulate three-dimensional solitary waves and compare qualitatively our results with the experimental data. We investigate three configurations of solitary waves impinging and overtopping an impermeable seawall on a 1:20 sloping beach.
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Cai, Huixian, Chaohong Pan, and Zhengrong Liu. "Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System." Abstract and Applied Analysis 2014 (2014): 1–20. http://dx.doi.org/10.1155/2014/189486.

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We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov systemut+(vm)x=0,vt+a(vn)xxx+buxv+cuvx=0calledD(m,n)system. We reveal some interesting bifurcation phenomena as follows. (1) ForD(2,1)system, the fractional solitary waves can be bifurcated from the trigonometric periodic waves and the elliptic periodic waves, and the kink waves can be bifurcated from the solitary waves and the singular waves. (2) ForD(1,2)system, the compactons can be bifurcated from the solitary waves, and the peakons can be bifurcated from the solitary waves and the singular cusp waves. (3) ForD(2,2)system, the solitary waves can be bifurcated from the smooth periodic waves and the singular periodic waves.
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LAMB, KEVIN G. "A numerical investigation of solitary internal waves with trapped cores formed via shoaling." Journal of Fluid Mechanics 451 (January 25, 2002): 109–44. http://dx.doi.org/10.1017/s002211200100636x.

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The formation of solitary internal waves with trapped cores via shoaling is investigated numerically. For density fields for which the buoyancy frequency increases monotonically towards the surface, sufficiently large solitary waves break as they shoal and form solitary-like waves with trapped fluid cores. Properties of large-amplitude waves are shown to be sensitive to the near-surface stratification. For the monotonic stratifications considered, waves with open streamlines are limited in amplitude by the breaking limit (maximum horizontal velocity equals wave propagation speed). When an exponential density stratification is modified to include a thin surface mixed layer, wave amplitudes are limited by the conjugate flow limit, in which case waves become long and horizontally uniform in the centre. The maximum horizontal velocity in the limiting wave is much less than the wave's propagation speed and as a consequence, waves with trapped cores are not formed in the presence of the surface mixed layer.
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Kenyon, Kern E. "Stability of Solitary Waves." Physics Essays 14, no. 3 (September 2001): 266–69. http://dx.doi.org/10.4006/1.3025492.

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Dissertations / Theses on the topic "Solitary waves"

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King, Gregory B. (Gregory Blaine). "Explicit Multidimensional Solitary Waves." Thesis, University of North Texas, 1990. https://digital.library.unt.edu/ark:/67531/metadc504381/.

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In this paper we construct explicit examples of solutions to certain nonlinear wave equations. These semilinear equations are the simplest equations known to possess localized solitary waves in more that one spatial dimension. We construct explicit localized standing wave solutions, which generate multidimensional localized traveling solitary waves under the action of velocity boosts. We study the case of two spatial dimensions and a piecewise-linear nonlinearity. We obtain a large subset of the infinite family of standing waves, and we exhibit several interesting features of the family. Our solutions include solitary waves that carry nonzero angular momenta in their rest frames. The spatial profiles of these solutions also furnish examples of symmetry breaking for nonlinear elliptic equations.
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Chen, Hongqiu. "Solitary waves and other long-wave phenomena /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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Orszaghova, Jana. "Solitary waves and wave groups at the shore." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:5b168bdc-4956-4152-a303-b23a6067bf42.

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A significant proportion of the world's population and physical assets are located in low lying coastal zones. Accurate prediction of wave induced run-up and overtopping of sea defences are important in defining the extent and severity of wave action, and in assessing risk to people and property from severe storms and tsunamis. This thesis describes a one-dimensional numerical model based on the Boussinesq equations of Madsen and Sorensen (1992) and the non-linear shallow water equations. The model is suitable for simulating propagation of weakly non-linear and weakly dispersive waves from intermediate to zero depth, such that any inundation and/or overtopping caused by the incoming waves is also calculated as part of the simulation. Wave breaking is approximated by locally switching to the non-linear shallow water equations, which can model broken waves as bores. A piston paddle wavemaker is incorporated into the model for complete reproduction of laboratory experiments. A domain mapping technique is used in the vicinity of the paddle to transform a time-varying domain into a fixed domain, so that the governing equations can be more readily solved. First, various aspects of the numerical model are verified against known analytical and newly derived semi-analytical solutions. The complete model is then validated with laboratory measurements of run-up and overtopping involving solitary waves. NewWave focused wave groups, which give the expected shape of extreme wave events in a linear random sea, are used for further validation. Simulations of experiments of wave group run-up on a plane beach yield very good agreement with the measured run-up distances and free surface time series. Wave-by-wave overtopping induced by focused wave groups is also successfully simulated with the model, with satisfactory agreement between the experimental and the predicted overtopping volumes. Repeated simulations, now driven by second order paddle displacement signals, give insight into second order error waves spuriously generated by using paddle signals derived from linear theory. Separation of harmonics reveals that the long error wave is significantly affecting the wave group shape and leading to enhanced runu-up distances and overtopping volumes. An extensive parameter study is carried out using the numerical model investigating the influence on wave group run-up of linear wave amplitude at focus, linear focus location, and wave group phase at focus. For a given amplitude, both the phase and the focus location significantly affect the wave group run-up. It is also found that the peak optimised run-up increases with the wave amplitude, but wave breaking becomes an inhibiting factor for larger waves. This methodology is proposed for extreme storm wave induced run-up analysis.
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Kim, Boguk Ph D. Massachusetts Institute of Technology. "Three-dimensional solitary waves in dispersive wave systems." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/34543.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006.
Includes bibliographical references (p. 119-122).
Fully localized three-dimensional solitary waves, commonly referred to as 'lumps', have received far less attention than two-dimensional solitary waves in dispersive wave systems. Prior studies have focused in the long-wave limit, where lumps exist if the long-wave speed is a minimum of the phase speed and are described by the Kadomtsev-Petviashvili (KP) equation. In the water-wave problem, in particular, lumps of the KP type are possible only in the strong-surface-tension regime (Bond number, B > 1/3), a condition that limits the water depth to a few mm. In the present thesis, a new class of lumps is found that is possible under less restrictive physical conditions. Rather than long waves, these lumps bifurcate from infinitesimal sinusoidal waves of finite wavenumber at an extremum of the phase speed. As the group and phase velocities are equal there, small-amplitude lumps resemble fully localized wavepackets with envelope and crests moving at the same speed, and the wave envelope along with the induced mean-flow component are governed by a coupled Davey-Stewartson equation system of elliptic-elliptic type. The lump profiles feature algebraically decaying tails at infinity owing to this mean flow. In the case of water waves, lumps of the wavepacket type are possible when both gravity and surface tension are present on water of finite or infinite depth for B < 1/3.
(cont.) The asymptotic analysis of these lumps in the vicinity of their bifurcation point at the minimum gravity-capillary phase speed, is in agreement with recent fully numerical computations by Parau, Cooker & Vanden-Broeck (2005) as well as a formal existence proof by Groves & Sun (2005). A linear stability analysis of the gravity-capillary solitary waves that also bifurcate at the minimum gravity-capillary phase speed, reveals that they are always unstable to transverse perturbations, suggesting a mechanism for the generation of lumps. This generation mechanism is explored in the context of the two-dimensional Benjamin (2-DB) equation, a generalization to two horizontal spatial dimensions of the model equation derived by Benjamin (1992) for uni-directional, small-amplitude, long interfacial waves in a two-fluid system with strong interfacial tension. The 2-DB equation admits solitary waves and lumps of the wavepacket type analogous to those bifurcating at the minimum gravity-capillary phase speed in the water-wave problem. Based on unsteady numerical simulations, it is demonstrated that the transverse instability of solitary waves of the 2-DB equation results in the formation of lumps, which propagate stably and are thus expected to be the asymptotic states of the initial-value problem for fully localized initial conditions.
by Boguk Kim.
Ph.D.
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Hoseini, Sayed Mohammad. "Solitary wave interaction and evolution." Access electronically, 2007. http://www.library.uow.edu.au/adt-NWU/public/adt-NWU20080221.110619/index.html.

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Mak, William Chi Keung Electrical Engineering &amp Telecommunications Faculty of Engineering UNSW. "Coupled Solitary Waves in Optical Waveguides." Awarded by:University of New South Wales. Electrical Engineering and Telecommunications, 1998. http://handle.unsw.edu.au/1959.4/17494.

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Soliton states in three coupled optical waveguide systems were studied: two linearly coupled waveguides with quadratic nonlinearity, two linearly coupled waveguides with cubic nonlinearity and Bragg gratings, and a quadratic nonlinear waveguide with resonant gratings, which enable three-wave interaction. The methods adopted to tackle the problems were both analytical and numerical. The analytical method mainly made use of the variational approximation. Since no exact analytical method is available to find solutions for the waveguide systems under study, the variational approach was proved to be very useful to find accurate approximations. Numerically, the shooting method and the relaxation method were used. The numerical results verified the results obtained analytically. New asymmetric soliton states were discovered for the coupled quadratically nonlinear waveguides, and for the coupled waveguides with both cubic nonlinearity and Bragg gratings. Stability of the soliton states was studied numerically, using the Beam Propagation Method. Asymmetric couplers with quadratic nonlinearity were also studied. The bifurcation diagrams for the asymmetric couplers were those unfolded from the corresponding diagrams of the symmetric couplers. Novel stable two-soliton bound states due to three-wave interaction were discovered for a quadratically nonlinear waveguide equipped with resonant gratings. Since the coupled optical waveguide systems are controlled by a larger number of parameters than in the corresponding single waveguide, the coupled systems can find a much broader field of applications. This study provides useful background information to support these applications.
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Melvin, Thomas R. O. "Travelling solitary waves in lattice equations." Thesis, University of Bristol, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.503947.

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This thesis is concerned with the existence and dynamics of travelling solitary waves in lattice equations, specifically a number of models of the discrete nonlinear Schrodinger equation (DNLS). The DNLS occurs in various forms when modelling a wide range of physical processes involving wave propagation. We provide a review of the literature and introduce some of the concepts that will be use to analyse the differential advance-delay equations which occur when posing lattice equations in a travelling frame. To show the existence of travelling solitary wave solutions to the DNLS three main methods are used, namely the pseudo-spectral method, Melnikov's method for the existence of homoclinic orbits and computation of the so-called Stokes constant for a beyond-all-orders asymptotic expansion. The pseudo-spectral method transforms the differential advance-delay equation into a large system of coupled algebraic equations which are solved numerically.
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Skryabin, Dmitry Vladimirovich. "Modulational instability of optical solitary waves." Thesis, University of Strathclyde, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366995.

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Moores, John Demeritt. "Collisions of orthogonally polarized solitary waves." Thesis, Massachusetts Institute of Technology, 1989. http://hdl.handle.net/1721.1/14420.

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Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1989.
Includes bibliographical references.
Support from the Office of Naval Research in the form of a 1986-1989 ONR Fellowship.
by John Demeritt Moores.
M.S.
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Marchant, Anna Louise. "Formation of bright solitary matter-waves." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/7279/.

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This thesis presents the development of an experimental apparatus to produce Bose-Einstein condensates (BECs) with tunable interparticle interactions. The ability to precisely control the strength of these interactions, and even to switch them from repulsive to attractive, allows one to probe novel regimes of condensate physics, from the collapse of attractively interacting BECs and the formation of solitary matter-waves to the observation of beyond mean-field effects in strongly repulsive condensates. The construction and characterisation of both a single and crossed beam optical dipole trap is presented. In the single beam case we develop a technique allowing the guided transport of atoms along the beam and up to a room-temperature surface; a technique which can be used to evaporatively cool the trapped atomic cloud. We produce Bose-Einstein condensates of 87Rb in the F=1, mF=-1 state in this trap, comparing the effect of beam waist on the evaporation trajectory. In the crossed beam trap Bose-Einstein condensation of 87Rb is realised in three distinct trapping configurations, along with a 1D optical lattice formed by changing the polarisation of the beams. A method of direct cooling of 85Rb atoms in the crossed trap is developed using a magnetic Feshbach resonance to precisely tune both the elastic and inelastic scattering properties of the atoms. The resonance used for this work occurs at 155G in collisions between atoms in the F=2, mF=-2 state of 85Rb. Bose-Einstein condensates of up to 40,000 85Rb atoms are formed in this trap and we demonstrate the presence of tunable interatomic interactions, exploring the collapse phenomenon associated with attractive condensates. By loading the 85Rb condensate into a quasi-1D waveguide we show that stable attractive condensates can be created, taking the form of bright solitary matter-waves. We observe a solitary wave of ~2,000 atoms which propagates, without dispersion, along the waveguide over a distance of ~1.1mm. The particle-like nature of the solitary wave is demonstrated by classical reflection of the wavepacket from a repulsive Gaussian barrier.
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Books on the topic "Solitary waves"

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An introduction to asymmetric solitary waves. Harlow, Essex, England: Longman Scientific & Technical, 1991.

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Engel'brekht, Yuriĭ K. An introduction to asymetric solitary waves. Harlow: Longman Scientific & Technical, 1991.

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Belashov, Vasily Yu, and Sergey V. Vladimirov. Solitary Waves in Dispersive Complex Media. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/b138237.

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Wazwaz, Abdul-Majid. Partial Differential Equations and Solitary Waves Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00251-9.

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A, Pokhotelov O., ed. Solitary waves in plasmas and in the atmosphere. Philadelphia: Gordon and Breach Science Publishers, 1992.

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Boyd, John P. Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5825-5.

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V, Vladimirov Sergey, ed. Solitary waves in dispersive complex media: Theory, simulation, applications. Berlin: Springer, 2005.

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Pava, Jaime Angulo. Nonlinear dispersive equations: Existence and stability of solitary and periodic travelling wave solutions. Providence, R.I: American Mathematical Society, 2009.

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Pava, Jaime Angulo. Nonlinear dispersive equations: Existence and stability of solitary and periodic travelling waves solutions. Providence, R.I: American Mathematical Society, 2009.

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Pava, Jaime Angulo. Nonlinear dispersive equations: Existence and stability of solitary and periodic travelling wave solutions. Providence, R.I: American Mathematical Society, 2009.

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Book chapters on the topic "Solitary waves"

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Fibich, Gadi. "Solitary Waves." In Applied Mathematical Sciences, 125–45. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12748-4_6.

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Hioe, F. T., and R. Grobe. "Matched Solitary Waves." In Coherence and Quantum Optics VII, 451–52. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4757-9742-8_99.

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Wazwaz, Abdul-Majid. "Solitary Waves Theory." In Nonlinear Physical Science, 479–502. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00251-9_12.

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Hereman, Willy. "Shallow Water Waves and Solitary Waves." In Encyclopedia of Complexity and Systems Science, 1–18. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-642-27737-5_480-5.

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Hereman, Willy. "Shallow Water Waves and Solitary Waves." In Encyclopedia of Complexity and Systems Science Series, 203–20. New York, NY: Springer US, 2022. http://dx.doi.org/10.1007/978-1-0716-2457-9_480.

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Hereman, Willy. "Shallow Water Waves and Solitary Waves." In Mathematics of Complexity and Dynamical Systems, 1520–32. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-1806-1_96.

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Hereman, Willy. "Shallow Water Waves and Solitary Waves." In Encyclopedia of Complexity and Systems Science, 8112–25. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-30440-3_480.

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Scott, A. C. "Solitary waves in biology." In Nonlinear Excitations in Biomolecules, 249–67. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-662-08994-1_19.

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Linde, H., P. D. Weidman, and M. G. Velarde. "Marangoni-driven solitary waves." In Capillarity Today, 261–67. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54367-8_56.

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Fibich, Gadi. "Computation of Solitary Waves." In Applied Mathematical Sciences, 637–46. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12748-4_28.

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Conference papers on the topic "Solitary waves"

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Serkin, Vladmir N., Tatyana L. Belyaeva, Igor V. Alexandrov, and Gaston Melo Melchor. "Solitary nonlinear Bloch waves." In Photonics West 2001 - LASE, edited by Yehuda B. Band. SPIE, 2001. http://dx.doi.org/10.1117/12.424708.

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Mochimaru, Yoshihiro. "Gravity-capillary, solitary waves." In RENEWABLE ENERGY SOURCES AND TECHNOLOGIES. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5127488.

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Liu, Xiao, and Yong Liu. "A New Methodology for Generation of Solitary Water Waves in Laboratory." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18537.

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Abstract In this article, a very simple system based on the enhanced dam-break flows was proposed and implemented to generate solitary wave with larger relative wave height (the ratio of wave height to water depth) in a laboratory flume. The experimental results showed that stable waves with the solitary wave profiles were successfully generated in the wave flume. The wave surface elevations were recorded by a series of wave gauges, and the fluid velocity field of the solitary wave was measured by Particle Image Velocimetry (PIV) system. The measurements of solitary wave profile, celerity and horizontal fluid velocity were also compared with the predictions by three different solitary wave theories. Results demonstrated that the present simple system was reliable and effective for the generation of solitary waves in laboratory.
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Synolakis, Costas Emmanuel. "Are Solitary Waves the Limiting Waves in Long Wave Runup?" In 21st International Conference on Coastal Engineering. New York, NY: American Society of Civil Engineers, 1989. http://dx.doi.org/10.1061/9780872626874.015.

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Maltseva, Janna L. "Limiting Forms of Internal Solitary Waves." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28514.

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High sensitivity of nonlinear wave structures in the weakly stratified fluid with respect to small perturbations of density in the upstream flow was pointed out in the paper (Benney & Ko, 1978). In present paper the influence of fine structure of stratification on one of the limiting forms, namely plateau-shaped solitary waves is analyzed. It is demonstrated that new limiting forms of solitary waves are possible in the case of continuous stratification close to linear or exponential one.
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ZHANG, FEI, and MICHAEL A. COLLINS. "SOLITARY WAVES IN POLYETHYLENE CRYSTALS." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814503877_0057.

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CHEN, MIN. "OBLIQUE INTERACTION OF SOLITARY WAVES." In Proceedings of the Conference. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814304245_0012.

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ENGELBRECHT, J., A. BEREZOVSKI, and A. SALUPERE. "SOLITARY WAVES IN DISPERSIVE MATERIALS." In Proceedings of the 14th Conference on WASCOM 2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812772350_0034.

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Lee, Wangkeun, Hongki Kim, and Myoungsik Cha. "Solitary waves in quadratic media with local distortion of phase mismatch." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: Optica Publishing Group, 1998. http://dx.doi.org/10.1364/nlgw.1998.nsnps.p10.

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In media with quadratic nonlinearity spatial solitary waves can be created by mutual trapping of the fundamental and the second-harmonic waves. Such solitary waves, as they are soliton-like waves, retain the original beam width and intensity to some extent. Nevertheless, intensity fluctuation and depletion have been significant problems in addition to that a long propagation length is needed before forming a stable solitary wave.
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Jazar, G. Nakhaie, M. Mahinfalah, M. Rastgaar Aagaah, and F. Fahimi. "Analysis of Solitary Waves in Arteries." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48565.

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Solitary waves are coincided with separaterices, which surrounds an equilibrium point with characteristics like a center, a sink, or a source. The existence of closed or spiral orbits in phase plane predicts the existence of such an equilibrium point. If there exists another saddle point near that equilibrium point, separatrix orbit appears. In order to prove the existence of solution for any kind of boundary value problem, we need to apply a fixed-point theorem. We have used the Schauder’s fixed-point theorem to show that there exists at least one nontrivial solution for equation of wave motion in arteries, which has a spiral characteristic. The equation of wave motion in arteries has a nonlinear character. Thus, the amplitude of the wave depends on the wave velocity. There is no general analytical or straightforward method for prediction of the amplitude of the solitary wave. Therefore, it must be found by numerical or nonstraightforward methods. We introduce and analyse three methods: saddle point trajectory, escape moving time, and escape moving energy. We apply these methods and show that the results of them are in agreement, and the amplitude of a solitary wave is predictable.
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Reports on the topic "Solitary waves"

1

Balmforth, N. J. Solitary waves and homoclinic orbits. Office of Scientific and Technical Information (OSTI), March 1994. http://dx.doi.org/10.2172/10139636.

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Bisognano, J. J. Solitary waves in particle beams. Office of Scientific and Technical Information (OSTI), July 1996. http://dx.doi.org/10.2172/10155313.

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Armi, Laurence. Solitary Waves and Sill Flows. Fort Belvoir, VA: Defense Technical Information Center, September 1997. http://dx.doi.org/10.21236/ada628383.

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4

Farmer, David. Solitary Waves and Sill Flows. Fort Belvoir, VA: Defense Technical Information Center, September 1997. http://dx.doi.org/10.21236/ada629416.

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Brandt, Alan, and Omar M. Knio. Mass Transport by Second Mode Internal Solitary Waves. Fort Belvoir, VA: Defense Technical Information Center, September 2012. http://dx.doi.org/10.21236/ada590593.

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Brandt, Alan, and Omar M. Knio. Mass Transport by Second Mode Internal Solitary Waves. Fort Belvoir, VA: Defense Technical Information Center, September 2013. http://dx.doi.org/10.21236/ada598900.

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Brandt, Alan, and Omar M. Knio. Mass Transport by Second Mode Internal Solitary Waves. Fort Belvoir, VA: Defense Technical Information Center, September 2014. http://dx.doi.org/10.21236/ada624562.

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Farmer, David M., and Svein Vagle. Stratified Flow Over Topography and Internal Solitary Waves. Fort Belvoir, VA: Defense Technical Information Center, September 2002. http://dx.doi.org/10.21236/ada626450.

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Farmer, David M. Large Amplitude Breaking Internal Solitary Waves: Their Origin and Dynamics. Fort Belvoir, VA: Defense Technical Information Center, September 2003. http://dx.doi.org/10.21236/ada629108.

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Pickett, Jolene. Collaborative Research: Dynamics of Electrostatic Solitary Waves on Current Layers. Office of Scientific and Technical Information (OSTI), October 2012. http://dx.doi.org/10.2172/1053964.

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