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Nondegenerate N-soliton solutions for Manakov system

Author

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  • Cai, Yue-Jin
  • Wu, Jian-Wen
  • Lin, Ji

Abstract

Recently, it has been proposed that solitons can be applied to increase the transmission rates in optical fibers. However due to their complex soliton solutions derived by Hirata method, it is pretty hard to study the properties of multiple nondegenerate solitons. In this paper, we investigate the general formula of nondegenerate N-soliton solutions for Manakov system by the Kadomtsev–Petviashvili (KP) hierarchy reduction. Based on the soliton solutions in determinant forms, different double-hump profiles of nondegenerate solitons are analyzed graphically with the consideration on their application in communication systems. The collisions between three nondegenerate solitons are studied via asymptotic analysis in detail. We further observe the collisions between two nondegenerate solitons and two normal single-hump solitons. We hope these results contribute to the study of soliton communication.

Suggested Citation

  • Cai, Yue-Jin & Wu, Jian-Wen & Lin, Ji, 2022. "Nondegenerate N-soliton solutions for Manakov system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008360
    DOI: 10.1016/j.chaos.2022.112657
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    References listed on IDEAS

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    1. Wei, Peng-Fei & Long, Chun-Xiao & Zhu, Chen & Zhou, Yi-Ting & Yu, Hui-Zhen & Ren, Bo, 2022. "Soliton molecules, multi-breathers and hybrid solutions in (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Wu, Gang-Zhou & Fang, Yin & Wang, Yue-Yue & Wu, Guo-Cheng & Dai, Chao-Qing, 2021. "Predicting the dynamic process and model parameters of the vector optical solitons in birefringent fibers via the modified PINN," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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    Cited by:

    1. Liu, Yindi & Zhao, Zhonglong, 2024. "Periodic line wave, rogue waves and the interaction solutions of the (2+1)-dimensional integrable Kadomtsev–Petviashvili-based system," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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