Exact travelling wave solutions of nonlinear pseudoparabolic equations by using the G′/G Expansion Method

Abstract

In this paper, the ( G′/G)expansion method with the aid of computer algebraic system Maple, is proposed for seeking the travelling wave solutions for the a class of nonlinear  pseudoparabolic equations. The method is straightforward and concise, and it be also applied to other nonlinear pseudoparabolic equations. We studied mostly important four nonlinear pseudoparabolic physical models : the Benjamin-Bona-Mahony-Peregrine-Burger(BBMPB) equation, the Oskolkov-Benjamin-Bona-Mahony-Burgers(OBBMB) equation, the one-dimensional Oskolkov equation and the generalized hyperbolic-elastic-rod wave equation.

Keywords

• The ( G′/G) expansion method,Travelling wave solution; Nonlinear pseudoparabolic equation Benjamin-Bona-Mahony-Peregrine-Burger(BBMPB) equation,Oskolkov-Benjamin-Bona-Mahony-Burgers (OBBMB) equation

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