The Method Of Rational Expansion For Finding Exact Solutions Of The Nonlinear Partial Differential Equations

In this paper,we present the method of rational expansion for finding exact solutions of the nonlinear partial differential equations,which is a formal generalization of the tanh-function method.As applications,using the rational expansions with the Tanh function,the exponential function and the rational polynomial function respectively,we get some new exact solutions for the KdV - mKdV equation,nonlinear dispersive-dissipative equation,the Chaffee -Infante reaction diffusion equation,the Burgers equation,the Burgers - mKdV equation and Klein - Gordon - Schrodinger equations.