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Transformations for a generalized variable-coefficient nonlinear Schrödinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation

Author

Listed:
  • Bo Tian
  • Wen-Rui Shan
  • Chun-Yi Zhang
  • Guang-Mei Wei
  • Yi-Tian Gao

Abstract

Describing space and laboratory plasmas, arterial mechanics and optical fibers, a generalized variable-coefficient nonlinear Schrödinger model is hereby under investigation. Four transformations have been constructed from such a model to the known standard and cylindrical nonlinear Schrödinger equations with the relevant constraints on the variable coefficients presented. Symbolic computation is performed. Specialities of those transformations are discussed. Analytic solutions of such a generalized variable-coefficient model can be obtained via those transformations from the analytic solutions of the standard and cylindrical ones. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • Bo Tian & Wen-Rui Shan & Chun-Yi Zhang & Guang-Mei Wei & Yi-Tian Gao, 2005. "Transformations for a generalized variable-coefficient nonlinear Schrödinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 47(3), pages 329-332, October.
    • Handle: RePEc:spr:eurphb:v:47:y:2005:i:3:p:329-332
    DOI: 10.1140/epjb/e2005-00348-3
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    Cited by:

    1. Md. Habibur Rahman & Muhammad I. Bhatti & Nicholas Dimakis, 2023. "Employing a Fractional Basis Set to Solve Nonlinear Multidimensional Fractional Differential Equations," Mathematics, MDPI, vol. 11(22), pages 1-15, November.
    2. Escorcia, J. & Suazo, E., 2017. "Blow-up results and soliton solutions for a generalized variable coefficient nonlinear Schrödinger equation," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 155-176.

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