New Jacobian Elliptic Function Solutions of Modified KdV Equation: II**The project supported by National Natural Science Foundation of China under Grant No. 10072013, National Key Basic Research Development Project Program under Grant No. G1998030600

Abstract

Recently, we obtained thirteen families of Jacobian elliptic function solutions of mKdV equation by using our extended Jacobian elliptic function expansion method. In this note, the mKdV equation is investigated and another three families of new doubly periodic solutions (Jacobian elliptic function solutions) are found again by using a new transformation, which and our extended Jacobian elliptic function expansion method form a new method still called the extended Jacobian elliptic function expansion method. The new method can be more powerful to be applied to other nonlinear differential equations.