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Bright and Dark Optical Solitons with Kerr and Parabolic Law Nonlinearities by Series Solution Approach

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This paper applies series solution technique to retrieve bright and dark 1-soliton solution of the nonlinear Schrödinger’s equation that governs the propagation of solitons through optical fibers. Kerr law nonlinearity gives bright and dark soliton, while parabolic law yields dark 1-soliton solution. The series solution technique provides an alternative, yet powerful, integration algorithm to integrate nonlinear Schrodinger’s equation. The drawback that is encountered using this approach is the inability to obtain singular soliton solutions to the model.

Keywords: Kerr Law; Parabolic Law; Solitons

Document Type: Research Article

Affiliations: 1: Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al Khod 123, Muscat, Oman 2: School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan-430212, People’s Republic of China 3: Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA 4: Department of Physics and Engineering, Delaware State University, Dover, DE 19901-2277, USA 5: Science Program, Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

Publication date: January 1, 2016

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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