New explicit exact solutions of the mKdV equation using the variational iteration method combined with Exp-function method

One of the advantages of the variational iteration method is the free choice of initial guess. In this paper, we use the basic idea of the Exp-function method to construct a generalized trial function with some unknown parameters. The mKdV equation is used to illustrate effectiveness and convenience of the method, some new explicit exact travelling wave solutions are obtained which include bell-type soliton solution, kink-type soliton solution, and periodic wave solution.