Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations

Tiecheng Xia, Xiaohong Chen and Dengyuan Chen

Chaos, Solitons & Fractals, 2005, vol. 26, issue 3, 889-896

Abstract: In this Letter, a systematic method is presented to construct the Darboux transformation with multi-parameters for the coupled nonlinear Schrödinger equations, from which the solutions of Schrödinger equations are reduced to solving a linear algebraic system and a constraint differential equation. With the aid of symbolic computation, new soliton-like solutions for the nonlinear Schrödinger equations are obtained by using its Darboux transformation.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:3:p:889-896

DOI: 10.1016/j.chaos.2005.01.030

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