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Dai, Chao-Qing; Cen, Xu; Wu, Sheng-Sheng

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

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 58-63 (2009).
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.
Reviewer: Sergei A. Mazanik (Minsk)

Cited in 11 Documents

MSC:

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

Keywords:

discrete sine-Gordon equation; exp-function method; exact travelling wave solution
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\textit{C.-Q. Dai} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 58--63 (2009; Zbl 1183.34101)
Full Text: DOI

References:

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