Abstract
Abstract In this paper, we study rational formal solutions of differential-difference equations by using a generalized ansatz. With the help of symbolic computation Maple , we obtain many explicit exact solutions of differential-difference equations(DDEs). The solutions contain solitary wave solutions and periodic wave solutions. The (2 + 1)-dimensional Toda lattice equation, relativistic Toda lattice equation and the discrete mKdV equation are chosen to illustrate our algorithm.
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