New Applications of an Improved (G `/G)-expansion Method to Construct the Exact Solutions of Nonlinear PDEs

In the present article, we construct traveling wave solutions involving parameters of some nonlinear PDEs in mathematical physics namely Konopelchenko-Dubrovsky equations, Kersten- Krasil' Shchik equations, Whitham- Broer Kaup equations and the fifth order KdV equation using an improved (G'/G)-expansion method, where G satisfies a second order linear ordinary differential equation. When these parameters are taken special values, the solitary waves are derived from the traveling waves. The exact wave solutions are expressed by hyperbolic, trigonometric and rational functions. Comparison between this method and the exp-function method is presented.