Eur. Phys. J. B 47, 329-332 (2005)
https://doi.org/10.1140/epjb/e2005-00348-3

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

¹ School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China
² State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
³ Meteorology Center of Air Force Command Post, Changchun 130051, China
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 (mailing address for YTG)
⁵ CCAST (World Lab.), P.O. Box 8730, Beijing 100080, China

Corresponding author: ^a gaoyt@public.bta.net.cn

Received: 12 July 2005
Revised: 28 July 2005
Published online: 28 October 2005

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.