THE MODIFIED (w/g)-EXPANSION METHOD AND ITS APPLICATIONS FOR SOLVING THE MODIFIED GENERALIZED VAKHNENKO EQUATION

Abstract

The modified (w/g)-expansion method for finding traveling wave solutions of nonlinear evolution equations is presented in this paper, which can be thought of as the generalization of the well-known (G′/G)-expansion method given recently by Wang et al.  When the w and g are taken special choices, some familiar expansion methods can be obtained.  Based on these interesting results, we further give two new forms of expansions via the modified (g′/g²)-expansion method and the modified (g′) expansion method.  In order to well illustrate the effectiveness of these two modified expansion methods, they are applied to a modified generalized Vakhnenko equation.