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

Authors: Khalique, C.M.¹; Biswas, A.²

Source: Journal of Electromagnetic Waves and Applications, Volume 23, Number 7, 2009 , pp. 963-973(11)

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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.

Document Type: Research article

DOI: http://dx.doi.org/10.1163/156939309788355270

Affiliations: 1: 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 2: 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

Publication date: 2009-05-01