Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications

Abstract

We established a traveling wave solution by the (G'/G) -expansion method for nonlinear partial differential equations (PDEs).The proposed method gives more general exact solutions for four different types of nonlinear partial differential equations such as the modified regularized long wave equation, the improved Korteweg de Vries equation ,the two dimension Korteweg de Vries (2D KdV) equations and Coupled equal width wave equations (CEWE).