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Symbolic computation on soliton solutions for variable-coefficient nonlinear Schrödinger equation in nonlinear optics

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Abstract

Soliton interaction and control using the dispersion-decreasing fibers with potential applications to the design of high-speed optical devices and ultralarge capacity transmission systems are investigated based on solving the variable-coefficient nonlinear Schrödinger equation with symbolic computation. Via the Hirota method, analytic two- and three-soliton solutions for that model are obtained, with their relevant properties and features illustrated. Dispersion-decreasing fibers with different profiles are found to be able to control the soliton velocity. Additionally, through the asymptotic analysis for the two-soliton solutions, we point out that the interaction between two solitons is elastic. Finally, a new approach to controll the soliton interaction using the dispersion-decreasing fiber with the Gaussian profile is suggested.

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Authors and Affiliations

  1. State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Wen-Jun Liu & Bo Tian

  2. School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing, 100876, China

    Wen-Jun Liu & Bo Tian

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  1. Wen-Jun Liu
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  2. Bo Tian
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Correspondence to Wen-Jun Liu.

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Liu, WJ., Tian, B. Symbolic computation on soliton solutions for variable-coefficient nonlinear Schrödinger equation in nonlinear optics. Opt Quant Electron 43, 147–162 (2012). https://doi.org/10.1007/s11082-011-9517-0

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  • DOI: https://doi.org/10.1007/s11082-011-9517-0

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