A coupled nonlinear Schrödinger type equation and its explicit solutions

Yunling Ma and Xianguo Geng

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2949-2953

Abstract: A new coupled nonlinear Schrödinger type equation is proposed and is proved to be completely integrable. Based on the resulting Lax pair, a Darboux transformation for the coupled nonlinear Schrödinger type equation is derived with the aid of a gauge transformation between spectral problems. As an application, some explicit solutions of the coupled nonlinear Schrödinger type equation are obtained, including periodic and rational solutions.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:2949-2953

DOI: 10.1016/j.chaos.2009.04.037

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