Volume 24, Issue 1
A Generalized (G'/G)-expansion Method to Find the Traveling Wave Solutions of Nonlinear Evolution Equations

Khaled A. Gepreel

10.4208/jpde.v24.n1.4

J. Part. Diff. Eq., 24 (2011), pp. 55-69.

Preview Full PDF BiBTex 277 625
  • 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.

  • AMS Subject Headings

35K99, 35P05, 35P99

Published online: 2011-02