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Journal of Electromagnetic Waves and Applications Volume 23, 2009 - Issue 7
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Articles

Optical Solitons with Parabolic and Dual-Power Law Nonlinearity via Lie Symmetry Analysis

C. M. Khalique International Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, Republic of South Africa
&
A. Biswas International Institute for Symmetry Analysis and Mathematical Modeling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, Republic of South Africa; Center for Research and Education in Optical Seiences and Applications, Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901–2277, USA
Pages 963-973 | Published online: 03 Apr 2012
 
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Abstract

This paper studies optical solitons by the method of Lie group analysis. The stationary 1-soliton solution is obtained for the nonlinear Schrödinger's equation with parabolic and dual-power law nonlinearity.

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