Exp-function method for constructing explicit and exact solutions of a lattice equation

In this paper, the Exp-function method is use to obtain explicit and exact solutions of a lattice equation. As a result, some new generalized solitonary solutions with parameters are obtained. Taking full advantages of the generalized solitonary solutions, some known solitary wave solutions reported in open literature are derived as special cases. It is shown that the Exp-function method, with the help of symbolic computation, provides a very effective and powerful new method for discrete nonlinear evolution equations in mathematical physics.