G -Expansion Method and its Applications*

In this paper,the traditional G ' =G-expansion method is improved and a generalized G ' =G-expansion method is proposed to seek exact solutions of nonlinear evolution equations.And we choose Benjamin-Bona-Mahony equa- tion,(2+1) dimensional generalized Zakharov-Kuznetsov equation and variant Bousinessq equations to illustrate the validity and advantages of the proposed method.It is shown that the proposed method is direct,effective because we can obtain not only triangular periodic wave solutions and hyperbolic function solutions,but also exponential function solutions and Jacobi elliptic function solutions.Moreover,it can also be used for many other nonlinear evolution equations in mathematical physics.