Results 141 to 150 of about 824 (182)

Multi-Soliton Solutions of the Levi Equations

Chinese Physics Letters, 2009
The multisoliton solutions of the Levi equations are derived with the Hirota method and Wronskian technique respectively.
You Fu-Cai, Zhang Jiao, Hao Hong-Hai
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Integrable discretizations of AB system and multi-soliton solutions

Communications in Nonlinear Science and Numerical Simulation, 2019
The ``AB-system'' is an integral system of two evolution equations of complex amplitudes \(A(x,t)\) and \(B(x,t)\), which apply to propagation of waves in hydrodynamics: \[ \begin{aligned} B_x+(1/2)(|a|^2)_t &= 0,\\ A_{xt} &= AB. \end{aligned} \] This system can be explicitly transformed into the integrable sine-Gordon equation.
Hira Sarfraz, Usman Saleem
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Multi-soliton solutions to the generalized Boussinesq equation of tenth order

2023
Summary: In the recent literature, many researchers are interested to apply standard computational methods for exact or numerical solutions of many classical nonlinear partial differential equations. Some leading methods are based on Lie group analysis, Painleve Analysis, G0/G expansion techniques, homotopy perturbation methods, and so on.
Kalegowda, Bharatha, Raghavachar, Rangarajan   +1 more
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Multi-soliton Solutions of the Konopelchenko-Dubrovsky Equation

Chinese Physics Letters, 2001
By using the standard truncated Painleve analysis, a Backlund transformation is used to obtain some new types of multi-soliton solutions of the (2+1)-dimensional integrable Konopelchenko-Dubrovsky equation from the trivial vacuum solution.
Lin Ji, Lou Sen-Yue, Wang Ke-Lin
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Multi-Soliton Solutions for a Classical Ferromagnetic Chain

Communications in Theoretical Physics, 1983
In this paper we report the multisoliton solutions of Landau-Lifshitz's equation for a classical ferromagnetic chain and their asymptotic behaviors as well as the formulas of shifts of their phases and centers of mass. They include the single- and double soliton solutions as particular cases.
Pu Fucho, Zhou Xin, Li Bozang
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Multi-soliton solutions in a finite depth fluid

Journal of Physics A: Mathematical and General, 1978
A systematic procedure for solving the Whitham equation in a two-layer fluid of finite depth is developed. An analytic solution which asymptotically evolves into exactly two solitons is exhibited. The characteristics of these solitons can be quite different from those resulting from the Korteweg-de Vries equation (the shallow water limit of the present
Joseph, R. I., Egri, Robert
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The Novel Multi-Soliton Solutions of Equation for Shallow Water Waves

Journal of the Physical Society of Japan, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Yi, Deng, Shufang, Chen, Dengyuan
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Multi-soliton-like solutions to the Benjamin–Ono equation

Journal of Mathematical Physics, 1977
We outline a systematic method of obtaining particular solutions to the nonlinear, integrodifferential equation obtained by Benjamin and Ono in their study of the propagation of finite amplitude waves in fluids of great depth. These solutions have the property of asymptotically breaking up into a series of N spatially localized waves of permanent form;
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Existence of multi-soliton solution for Zakharov–Rubenchik system

Journal of Evolution Equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alvarez, Vicente, Esfahani, Amin
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On the Multi‐soliton Solutions of Some Nonlinear Evolution Equations

Studies in Applied Mathematics, 1979
We use the Hirota's technique to find the multi‐soliton solutions of some nonlinear evolution equations. The interaction of the solitons is studied.
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