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Travelling wave solutions of some classes of nonlinear evolution equations in (1+1) and (2+1) dimensions
Journal article   Peer reviewed

Travelling wave solutions of some classes of nonlinear evolution equations in (1+1) and (2+1) dimensions

A.H. Khater, W. Malfliet, D.K. Callebaut and E.S. Kamel
Journal of computational and applied mathematics, Vol.140(1), pp.469-477
01/03/2002
DOI: https://doi.org/10.1016/S0377-0427(01)00482-4

Abstract

Nonlinear evolution equations Solitary waves Tanh series solution method Travelling wave solutions
The tanh method is proposed to find travelling wave solutions in (1+1) and (2+1) dimensional wave equations. It can be extended to solve a whole family of modified Korteweg–de Vries type of equations, higher dimensional wave equations and nonlinear evolution equations.

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