Jacobian elliptic function method for nonlinear differential-difference equations

Chaoqing Dai and Jiefang Zhang

Chaos, Solitons & Fractals, 2006, vol. 27, issue 4, 1042-1047

Abstract: An algorithm is devised to derive exact travelling wave solutions of differential-difference equations by means of Jacobian elliptic function. For illustration, we apply this method to solve the discrete nonlinear Schrödinger equation, the discretized mKdV lattice equation and the Hybrid lattice equation. Some explicit and exact travelling wave solutions such as Jacobian doubly periodic solutions, kink-type solitary wave solutions are constructed.

Date: 2006
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:4:p:1042-1047

DOI: 10.1016/j.chaos.2005.04.071

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