Exact travelling wave solutions of some nonlinear equations by [formula omitted]-expansion method

Abstract

Here we find exact solutions of some nonlinear evolution equations within the framework of the G ′ G -expansion method. Exact solutions of five nonlinear equations of physical importance viz. the coupled Schrodinger–KdV equation, the coupled nonlinear Reaction–Diffusion equation, the Foam Drainage equation, the Phi-Four equation and the Dodd–Bullough–Mikhailov equation are obtained. These general solutions can be reduced in some standard results derived by some other methods. Two and three dimensional plots of some of the results are also presented.