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A Lie symmetry approach to nonlinear Schrodinger's equation with non-Kerr law nonlinearity
Journal article   Peer reviewed

A Lie symmetry approach to nonlinear Schrodinger's equation with non-Kerr law nonlinearity

C. Masood Khalique and Anjan Biswas
Communications in nonlinear science & numerical simulation, Vol.14(12), pp.4033-4040
01/12/2009
DOI: https://doi.org/10.1016/j.cnsns.2009.02.024

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physical Sciences Physics Physics, Fluids & Plasmas Physics, Mathematical Science & Technology Technology
This paper obtains the stationary 1-soliton solution of the nonlinear Schrodinger's equation in non-Kerr law media. The types of nonlinearity that are considered are Kerr law, power law, parabolic law and the dual-power law. The technique that is used to carry out the integration of this equation is the Lie symmetry analysis. (C) 2009 Elsevier B.V. All rights reserved.

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