New Jacobian Elliptic Function Solutions of Modified KdV Equation: III**The project supported by National Natural Science Foundation of China under Grant No. 10 072 013, the National Key Basic Research Development Project Program under Grant No. G1 998 030 600, and the PIMS Postdoctoral Fellowship

Abstract

More recently, sixteen families of Jacobian elliptic function solutions of mKdV equation have been found by using our extended Jacobian elliptic function expansion method. In this paper, we continue to improve our method by using another eight pairs of the closed Jacobian elliptic functions. The mKdV equation is chosen to illustrate the improved method such that another eight families of new Jacobian elliptic function solutions are obtained again. The new method can be more powerful to be applied to other nonlinear differential equations.