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Multiple soliton solutions for the Bogoyavlenskii’s generalized breaking soliton equations and its extension form

Applied Mathematics and Computation, 2010
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(2+1)-Dimensional mKdV (N) equations by the mKdV recursion operator: Multiple soliton and multiple singular soliton solutions

Applied Mathematics and Computation, 2012
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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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Multiple-soliton solutions for the Lax seventh-order equation

Applied Mathematics and Computation, 2008
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Multiple soliton solutions for a new coupled Ramani equation

Physica Scripta, 2010
In this work, a new sixth-order coupled Ramani equation is proposed. Hereman's method is employed for analytic treatment of this equation. The constraint condition between parameters is established. Multiple soliton solutions and multiple singular soliton solutions are formally derived for this model.
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Negative-Order KdV and Negative-Order KP Equations: Multiple Soliton Solutions

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2017
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Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave

Journal of Geometry and Physics, 2021
Jalil Manafian   +2 more
exaly  

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