Article ID Journal Published Year Pages File Type
1894380 Chaos, Solitons & Fractals 2006 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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