TY - JOUR T1 - A Generalized (G'/G)-expansion Method to Find the Traveling Wave Solutions of Nonlinear Evolution Equations JO - Journal of Partial Differential Equations VL - 1 SP - 55 EP - 69 PY - 2011 DA - 2011/02 SN - 24 DO - http://doi.org/10.4208/jpde.v24.n1.4 UR - https://global-sci.org/intro/article_detail/jpde/5197.html KW - A generalized (G'⁄ G)-expansion method KW - traveling wave solutions KW - the modified Kawahara equation KW - the coupled KdV equations KW - the classical Boussinesq equations KW - the Jacobi elliptic functions AB -

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.