Applications of F-expansion to Periodic Wave Solutions for KdV Equation

We present a F-expansion method for fi nd ing periodic wave solutions of nonlinear evolution equations in mathematical phy sics,which can be thought of as a concentration of extended Jacobi elliptic func tion expansion method proposed more recently.By using the F-expansion,witho ut calculating Jacobi elliptic functions,we obtain simultaneously many periodic wave solutions expressed by various Jacobi elliptic functions for the famous KdV equation.When the modulus m approaches to 1,the hyperbolic function solutio ns (including the solitary wave solutions) are also given.