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Exact travelling wave solutions of nonlinear pseudoparabolic equations by using the G′/G expansion method

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 4)

Publication Date:

Authors : ; ; ;

Page : 51-66

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 one-dimensional Oskolkov equationi generalized hyperbolic-ela;

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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.

Last modified: 2017-01-26 01:08:09