Jacobi elliptic function solutions of the Ablowitz–Ladik discrete nonlinear Schrödinger system

Wenhua Huang and Yulu Liu

Chaos, Solitons & Fractals, 2009, vol. 40, issue 2, 786-792

Abstract: A new general Jacobi elliptic function expansion algorithm is developed to obtain exact solutions for discrete nonlinear systems. Applying this method, many exact Jabobi elliptic function travelling wave solutions for Ablowitz–Ladik discrete nonlinear Schrödinger system are derived. These doubly periodic solutions may degenerate to hyperbolic function solutions including discrete soliton solutions as the modulus m→1 and trigonometric function solutions as m→0, respectively.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:2:p:786-792

DOI: 10.1016/j.chaos.2007.08.025

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