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Applied Mathematics and Computation, 2010
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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, 2016In 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, 1999Using 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, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiple soliton solutions for a new coupled Ramani equation
Physica Scripta, 2010In 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, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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