ENHANCED (G /G)-EXPANSION METHOD AND APPLICATIONS TO THE (2 + 1)D TYPICAL BREAKING SOLITON AND BURGERS EQUATIONS

In this paper, by introducing a new general framework, the enhanced (G /G)-expansion method and its algorithm are proposed by studying Wang’s (G /G)-expansion method and constructing a first order nonlinear ordinary differential equation with a third-degree nonlinear term to the nonlinear (2 + 1)-dimensional typical breaking soliton and Burgers equations. As results, some new exact traveling wave solutions are obtained which include solitary wave solutions.