Analytical study of optical solitons in media with Kerr and parabolic-law nonlinearities |
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Authors: | Qin Zhou Fang Chen |
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Affiliation: | School of Physics and Technology, Wuhan University, Wuhan 430072, P.R. China |
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Abstract: | The nonlinear optical transmission equation was investigated in the presence of detuning, inter-modal dispersion, time- and space-modulated external potentials, and dissipation. Optical solitons, triangular periodic solutions, and Jacobian elliptic periodic solutions are constructed with the aid of the self-similarity transformation and Jacobian elliptic equation expansion methods. The conditions for analytical solutions to exist are obtained. Both Kerr-law as well as parabolic-law nonlinear media are considered. |
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Keywords: | nonlinear Schrödinger equation Jacobian elliptic equation self-similarity transformation soliton Kerr law parabolic-law media. |
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