Application Of Three Function Expansion Methods To Solve Nonlinear Partial Differential Equations

(G'/G2)expansion method,G'/(G+G')expansion method and(G(K+1)/G(K))expansion methods are significant method to construct exact solutions of nonlinear partial dif-ferential equations improved by(G'/G)expansion method.In this paper,three types of func-tion expansion methods are used to build precise solutions for several types of nonlinear partial differential equations.The main processes and results are as follows:1.The negative power terms(G'/G2)expansion method is applied to construct exact solutions of the spatiotemporal fractional Cahn-Allen equation and the MEW equation.The non-negative power term(G'/G2)expansion method is applied to construct the exact solutions of the(2+1)-dimensional Boiti-Leon-Pempinlli equation.2.The exact solutions of nonlinear spatiotemporal fractional telegraph equations are con-structed by(G'/G2)expansion method and G'/(G+G')expasion method which contain both negative power terms and non-negative power terms.3.The exact solutions of the first-order KDV equation are constructed by(G'/G2)ex-pansion method with non-negative power term and G'/(G+G')expansion method with the non-negative power term.4.The(G(K+1)/G(K))expansion method is used to constructed new exact solution of the cubic nonlinear Schrodinger equation.