Results 11 to 20 of about 49,111 (193)
Kinetic equation for a dense soliton gas [PDF]
Physical Review Letters, 2005 We propose a general method to derive kinetic equations for dense soliton gases in physical systems described by integrable nonlinear wave equations.
A. M. Kamchatnov +7 more
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Results in PhysicsThis article investigates the dynamical behavior analysis and soliton solutions of the generalized Whitham–Broer–Kaup–Boussineq–Kupershmidt equations in fluid flow dynamics and plasma waves.
Jie Luo
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Soliton solutions by means of Hirota bilinear forms
Partial Differential Equations in Applied Mathematics, 2022 The paper aims to provide a brief overview of soliton solutions obtained through the Hirota direct method. A bilinear formulation of soliton solutions in both (1+1)-dimensions and (2+1)-dimensions is discussed, together with applications to various ...
Wen-Xiu Ma
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Forced Soliton Equation and Semiclassical Soliton Form Factors [PDF]
Physical Review Letters, 2020 We show that the leading semiclassical behavior of soliton form factors at arbitrary momentum transfer is controlled by solutions to a new wave-like integro-differential equation that describes solitons undergoing acceleration. We work in the context of two-dimensional linear sigma models with kink solitons for concreteness, but our methods are purely ...
Ilarion V. Melnikov +2 more
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Assorted soliton solutions to the nonlinear dispersive wave models in inhomogeneous media
Results in Physics, 2022 The Sharma-Tasso-Olver and Klein–Gordon equations are significant models to interpret plasma physics, relativistic physics, quantum mechanics, nonlinear optics, etc.
M. Ali Akbar +3 more
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Rational soliton solutions of nonlocal multicomponent nonlinear Schrödinger equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, we present a generalized Darboux transformation for nonlocal multicomponent nonlinear Schrödinger (NLS) equations. Also, we provide a unified formula for Nth-order rational soliton solution of discussed nonlocal multicomponent NLS ...
Li-Na Zheng, Yu-Shan Bai
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The Translating Soliton Equation [PDF]
, 2021 We give an analytic approach to the translating soliton equation with a special emphasis in the study of the Dirichlet problem in convex domains of the plane.
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Journal of Ocean Engineering and Science, 2023 This article considers time-dependent variable coefficients (2+1) and (3+1)-dimensional extended Sakovich equation. Painlevé analysis and auto-Bäcklund transformation methods are used to examine both the considered equations.
Shailendra Singh, S. Saha Ray
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Results in Physics, 2020 The Riemann wave equation and the Novikov-Veselov equation are interesting nonlinear equations in the sphere of tidal and tsunami waves in ocean, river, ion and magneto-sound waves in plasmas, electromagnetic waves in transmission lines, homogeneous and ...
Hemonta Kumar Barman +3 more
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A study on the compatibility of the generalized Kudryashov method to determine wave solutions
Propulsion and Power Research, 2021 In this article, we establish solitary wave solutions to the Estevez-Mansfield-Clarkson (EMC) equation and the coupled sine-Gordon equations which are model equations to analyze the formation of shapes in liquid drops, surfaces of negative constant ...
Hemonta Kumar Barman +2 more
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