A Generalized (<em>G'</em>/<em>G</em>)-expansion Method to Find the Traveling Wave Solutions of Nonlinear Evolution Equations

A Generalized (<em>G'</em>/<em>G</em>)-expansion Method to Find the Traveling Wave Solutions of Nonlinear Evolution Equations

Year:    2011

Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 1 : pp. 55–69

Abstract

In this article, we construct the exact traveling wave solutions for nonlinear evolution equations in the mathematical physics via the modified Kawahara equation, the nonlinear coupled KdV equations and the classical Boussinesq equations, by using a generalized (G'/G)-expansion method, where G satisfies the Jacobi elliptic equation. Many exact solutions in terms of Jacobi elliptic functions are obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v24.n1.4

Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 1 : pp. 55–69

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    A generalized (G'⁄ G)-expansion method