Results 161 to 170 of about 17,084 (205)

The multiple-soliton solution of the Camassa-Holm equation

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2004
Summary: This paper refines Johnson's implementation of Constantin's method for solving the Camassa-Holm equation for a multiple-soliton solution. An analytical formula for the \(q(y)\) and an explicit relation between \(x\) and \(y\) are found. An algorithm of solving for \(u(y)\) is presented.
Li, Yishen, Zhang, Jin E.
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The generalized KaupߝBoussinesq equation: multiple soliton solutions

Waves in Random and Complex Media, 2015
In this work, we investigate the generalized two-field Kaup–Boussinesq (KB) equation. The KB equation possesses the cubic nonlinearity that distinguishes it from the Boussinesq equation that contains quadratic nonlinearity. We use the simplified form of Hirota’s direct method to determine multiple soliton solutions and multiple singular soliton ...
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Higher dimensional integrable Vakhnenko–Parkes equation: multiple soliton solutions

International Journal of Numerical Methods for Heat & Fluid Flow, 2020
Purpose This study aims to develop a new (3 + 1)-dimensional Painlevé-integrable extended Vakhnenko–Parkes equation. The author formally derives multiple soliton solutions for this developed model. Design/methodology/approach The study used the simplified Hirota’s method for deriving multiple soliton solutions.
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A coupled Ramani equation: multiple soliton solutions

Journal of Mathematical Chemistry, 2014
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Multiple-soliton solutions for the Boussinesq equation

Applied Mathematics and Computation, 2007
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Multiple-soliton solutions of the perturbed KdV equation

Communications in Nonlinear Science and Numerical Simulation, 2010
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Multiple soliton solutions with chiral nonlinear Schrödinger’s equation in (2+1)-dimensions

European Journal of Mechanics - B/Fluids, 2021
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Awan, Aziz Ullah, Tahir, Muhammad, Abro, Kashif Ali   +2 more
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Multiple soliton solutions and other exact solutions for a two‐mode KdV equation

Mathematical Methods in the Applied Sciences, 2016
In this work, we study the two‐mode Korteweg–de Vries (TKdV) equation, which describes the propagation of two different waves modes simultaneously. We show that the TKdV equation gives multiple soliton solutions for specific values of the nonlinearity and dispersion parameters involved in the equation.
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Multiple Soliton Solutions of the Dispersive Long-Wave Equations

Chinese Physics Letters, 1999
Using a simple homogeneous balance method, which is very concise and primary, we find the multiple soliton solutions of the dispersive long-wave equations. The method can be generalized to deal with the higher dimensional dispersive long-wave equations and other class of nonlinear equation.
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A two-mode coupled Korteweg–de Vries: multiple-soliton solutions and other exact solutions

Nonlinear Dynamics, 2017
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Jaradat, H. M., Syam, Muhammed, Alquran, Marwan   +2 more
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