Exact Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics

Abstract

In this article, by introducing a new general ansatze, the improved ( )- expansion - method is proposed to construct exact solutions of some nonlinear partial differential equations in mathematical physics via the generalized Zakharov equations, the coupled Maccaris equations, the (2+1)- dimensional Wu-Zhang equations and the (1+1) dimensional Fornberg \u2013 Whitham equation in terms of the hyperbolic functions , trigonometric functions and rational function, where satisfies a second order linear ordinary differential equation. When the parameters are taken special values, the solitary wave are derived from the traveling waves. This method is reliable, simple and gives many new exact solutions.