Construction Of New Exact Solutions Of Three Nonlinear Evolution Equations

(G’/G)-expansion method is a powerful mathematical tool for solving the exact solutions of nonlinear evolution equation. In this paper, three types of nonlinear evolution equations are discussed. Firstly, the modified (G’/G)-expansion method have been constructed to calculate the exact solutions for the third order nonlinear wave equation; Secondly, we use the fractional complex transformation to convert nonlinear partial fractional differential equation into nonlinear ordinary differential equations, the extended (G’/G)-expansion method is used to look for exact solutions of the nonlinear fractional Klein-Gordon equation. Finally, modified (G’/G)-expansion method is used to construct the exact solutions of the fractional modified Zakharov-Kuznetsov equation. New solutions which include hyperbolic function solutions, trigonometric function solutions, rational function solutions and negative power solutions are obtained in this work.