EXTENDED SYMMETRIES AND SOLUTIONS OF (2 + 1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION WITH VARIABLE COEFFICIENTS

Jia Wang and Biao Li ()
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Jia Wang: Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, P. R. China
Biao Li: Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, P. R. China;

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 11, 1681-1696

Abstract: By generalized symmetry group method, some time-space-dependent finite transformations between two different (2 + 1)-dimensional nonlinear Schrödinger equations (NLSE) are constructed. From these transformations, some (2 + 1)-dimensional variable coefficients NLSE can be reduced to another variable coefficients NLSE or corresponding constant coefficients NLSE. Abundant solutions of some (2 + 1)-dimensional variable coefficients NLSE are obtained from their corresponding constant coefficients NLSE.

Keywords: Generalized symmetry group method; (2 + 1)-dimensional NLS equation; solutions; 02.30.Jr; 05.45.Yv; 11.30.-j; 03.65.Ge (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014679

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