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Effects of dispersion terms on optical soliton propagation in a lossy fiber system

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Abstract

In this paper, a variable-coefficient nonlinear Schrödinger equation that describes the optical soliton propagation in dispersion management fiber systems is studied. Two- and three-soliton solutions are obtained by using the Hirota bilinear method. Based on those solutions, the effects of related parameters on optical soliton propagation are discussed. By choosing different values of the third-order dispersion, the amplification of optical solitons can be realized. In addition, the interactions among the solitons can be reduced by setting a proper value of the group velocity dispersion. The results of this paper may be helpful to design optical amplifiers or to improve the quality of optical communications.

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Acknowledgements

This work has been supported by the National Natural Science Foundation of China (11905009,11875008,12075034); Beijing Youth Top-notch Talent Support Program (2017000026833ZK08); Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications (IPOC2019ZZ01).

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Authors and Affiliations

  1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing, 100876, China

    Lili Wang & Wenjun Liu

  2. Beijing Union University, Beijing, 100101, China

    Zitong Luan

  3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah, 21589, Saudi Arabia

    Qin Zhou

  4. Department of Physics, Chemistry and Mathematics, Alabama A & M University, Normal, AL, 35762–4900, USA

    Anjan Biswas

  5. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Anjan Biswas

  6. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow, 115409, Russian Federation

    Anjan Biswas

  7. Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Abdullah Kamis Alzahrani

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  1. Lili Wang
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  2. Zitong Luan
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  3. Qin Zhou
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  5. Abdullah Kamis Alzahrani
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  6. Wenjun Liu
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Correspondence to Wenjun Liu.

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Wang, L., Luan, Z., Zhou, Q. et al. Effects of dispersion terms on optical soliton propagation in a lossy fiber system. Nonlinear Dyn 104, 629–637 (2021). https://doi.org/10.1007/s11071-021-06283-9

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  • DOI: https://doi.org/10.1007/s11071-021-06283-9

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