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Eighth Mississippi State - UAB Conference on Differential Equations & Computational Simulations
May 7-9, 2009
Department of Mathematics and Statistics, Mississippi State University
Mississippi State, MS, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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A Lie symmetry approach to Nonlinear Schrodinger’s equation with non-Kerr law nonlinearity
by
Chaudry Masood Khalique
North-West University, Mmabatho Campus, South Africa

In this talk we obtain the stationary 1-soliton solution of the nonlinear Schrodinger 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.

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Date received: January 15, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxp-18.