New explicit solutions of the Klein–Gordon equation using the variational iteration method combined with the Exp-function method

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