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Extended Symmetries And Solutions Of (2 + 1)-Dimensional Nonlinear Schrödinger Equation With Variable Coefficients

Author

Listed:
  • 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;
    Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, P. R. China)

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.

Suggested Citation

  • Jia Wang & Biao Li, 2009. "Extended Symmetries And Solutions Of (2 + 1)-Dimensional Nonlinear Schrödinger Equation With Variable Coefficients," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(11), pages 1681-1696.
  • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:11:n:s0129183109014679
    DOI: 10.1142/S0129183109014679
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