4.7 Article

Darboux transformation for an integrable generalization of the nonlinear Schrodinger equation

Journal

NONLINEAR DYNAMICS
Volume 69, Issue 4, Pages 1621-1630

Publisher

SPRINGER
DOI: 10.1007/s11071-012-0373-7

Keywords

An integrable generalization of the nonlinear Schrodinger equation; Darboux transformation; Exact solutions

Funding

  1. National Natural Science Foundation of China [11171312]

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A Darboux transformation for an integrable generalization of the coupled nonlinear Schrodinger equation is derived with the help of the gauge transformation between the Lax pair. As a reduction, a Darboux transformation for an integrable generalization of the nonlinear Schrodinger equation is obtained, from which some new solutions for the integrable generalization of the nonlinear Schrodinger equation are given.

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