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

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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.

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Authors and Affiliations

  1. School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Bo Tian & Wen-Rui Shan

  2. State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China

    Bo Tian & Yi-Tian Gao

  3. Meteorology Center of Air Force Command Post, Changchun, 130051, China

    Chun-Yi Zhang

  4. Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China

    Chun-Yi Zhang, Guang-Mei Wei & Yi-Tian Gao

  5. CCAST (World Lab.), P.O. Box 8730, Beijing, 100080, China

    Yi-Tian Gao

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  1. Bo Tian
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  2. Wen-Rui Shan
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  3. Chun-Yi Zhang
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Correspondence to Yi-Tian Gao.

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Tian, B., Shan, WR., Zhang, CY. et al. Transformations for a generalized variable-coefficient nonlinear Schrödinger model from plasma physics, arterial mechanics and optical fibers with symbolic computation. Eur. Phys. J. B 47, 329–332 (2005). https://doi.org/10.1140/epjb/e2005-00348-3

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  • DOI: https://doi.org/10.1140/epjb/e2005-00348-3

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