Extended rational (G’/ G)expansion method for nonlinear partial differential equations

Abstract

In this article, we use the extended rational ( )- expansion function method to construct exact solutions for some nonlinear partial differential equations in mathematical physics via the (2+1)- dimensional Wu-Zhang equations, the KdV equation, and generalized Hirota\u2013Satsuma coupled KdV equation in terms of the hyperbolic functions, trigonometric functions and rational function, when satisfies a nonlinear second order ordinary differential equation. When the parameters are taken some special values, the solitary wave are derived from the traveling waves. This method is reliable, simple and gives many new exact solutions.