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Nonlinear control for soliton interactions in optical fiber systems

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Abstract

The realization of soliton control and soliton quality balance is one of the key research contents of optical communications. In order to better reflect the nonlinear interactions during soliton transmission and investigate their change rule, it is necessary to use the transmission model based on nonlinear interaction of solitons to study their characteristics. In this paper, we consider the fifth-order nonlinear Schrödinger equation with variable dispersion and nonlinear effects to realize soliton control and improve soliton quality. Analytic solutions of this equation are presented by the bilinear method, and the transmission and interaction characteristics of solitons in real fiber systems are studied. Influences of dispersion and nonlinear effects on them are analyzed. The nonlinear control based on the linear optical fiber is realized by studying the interactions between two adjacent solitons.

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Acknowledgements

The authors would like to thank Chaoqing Dai for his help. The work of Wenjun Liu was supported by the National Natural Science Foundation of China (11674036, 11875008); 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); The Fundamental Research Funds for the Central Universities (500419305). This work was also funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia, under Grant No. (KEP-65-130-38). The authors, therefore, acknowledge with thanks DSR technical and financial support.

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Authors and Affiliations

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

    Pei Zhang, Cheng Hu & Wenjun Liu

  2. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, China

    Qin Zhou

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

    Anjan Biswas

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

    Anjan Biswas

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

    Anjan Biswas

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  1. Pei Zhang
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  2. Cheng Hu
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Correspondence to Qin Zhou.

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Zhang, P., Hu, C., Zhou, Q. et al. Nonlinear control for soliton interactions in optical fiber systems. Nonlinear Dyn 101, 1215–1220 (2020). https://doi.org/10.1007/s11071-020-05865-3

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