Travelling wave solutions of some classes of nonlinear evolution equations in (1+1) and higher dimensions

A.H. Khater, W. Malfliet and E.S. Kamel

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 64, issue 2, 247-258

Abstract: The tanh method is used to find travelling wave solutions to various wave equations. In particular, it is extended to solve a coupled set of (1+1) dimensional Korteweg–de Vries type of equations, (3+1) dimensional Korteweg–de Vries like equation and Liouville’s equation. Also the stability of those solutions is investigated.

Keywords: Travelling wave solutions; Tanh series solution method; Nonlinear evolution equations; Solitary waves (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:64:y:2004:i:2:p:247-258

DOI: 10.1016/j.matcom.2003.09.024

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