Exact travelling wave solutions of the discrete sine-Gordon equation obtained via the exp-function method. (English) Zbl 1183.34101

From the authors’ abstract: We generalize the exp-function method for solving nonlinear differential-difference equations. As an illustration, two series of exact travelling wave solutions of the discrete sine-Gordon equation are obtained. As some special examples, these new exact travelling wave solutions can degenerate into the kink-type solitary wave solutions.


34K05 General theory of functional-differential equations
34A05 Explicit solutions, first integrals of ordinary differential equations
35Q51 Soliton equations
Full Text: DOI


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