Optical soliton perturbation in non-Kerr law media: Traveling wave solution |
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Authors: | Anjan Biswas Megan Fessak Stephen Johnson Siercke Beatrice Daniela Milovic Zlatko Jovanoski Russell Kohl Fayequa Majid |
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Institution: | 1. Department of Mathematical Sciences, Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA;2. Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA;3. Faculty of Electronic Engineering, Department of Telecommunications, University of Nis Aleksandra, Medvedeva 14, 18000 Nis, Serbia;4. School of Physical, Environmental and Mathematical Sciences, The University of New South Wales at ADFA, ACT 2600, Australia;5. Department of Mathematics Alabama, A & M University Normal, AL 35762, USA |
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Abstract: | This paper analyses the dynamics of soliton propagation through optical fibers with non-Kerr law nonlinearities. The governing nonlinear Schrödinger equation is integrated in the presence of perturbation terms. The traveling wave hypothesis is used to carry out the integration. Domain restrictions on the soliton parameters are identified in the process. The five forms of nonlinearity that are studied are Kerr-law, power-law, parabolic-law, dual-power law and the log-law nonlinearity. Numerical simulations are presented for each of these nonlinear media. |
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