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On a coupled Hirota system in an optical fiber: Multi-soliton asymptotics and bound-state solitons

Author

Listed:
  • Shan, Hong-Wen
  • Tian, Bo
  • Liu, Hao-Dong

Abstract

Optical fibers have such characteristics as the high bandwidth, low loss and resistance to the electromagnetic interference, which make them used in the telecommunications, medical imaging and sensing applications. A coupled Hirota system in an optical fiber is investigated in this paper. We derive the N-soliton solutions in the determinant form via an existing binary Darboux transformation and perform the asymptotic analysis on the obtained N-soliton solutions, where N is a positive integer. Taking N=2 and N=3 as two examples, we graphically illustrate the 2 and 3 interacting solitons, aligning with our asymptotic-analysis results. Adjusting the values of some parameters in the obtained N-soliton solutions to make the velocities of certain solitons equal, we derive some bound-state solitons and graphically display them.

Suggested Citation

  • Shan, Hong-Wen & Tian, Bo & Liu, Hao-Dong, 2026. "On a coupled Hirota system in an optical fiber: Multi-soliton asymptotics and bound-state solitons," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:chsofr:v:204:y:2026:i:c:s0960077925017576
    DOI: 10.1016/j.chaos.2025.117744
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    References listed on IDEAS

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    1. Sabirov, K.K. & Akramov, M.E. & Sh. Otajonov, R. & Matrasulov, D.U., 2020. "Soliton generation in optical fiber networks," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    2. Liu, Shao-Hua & Tian, Bo & Gao, Xiao-Tian, 2025. "Beak-type breathers and rogue waves for a coupled Hirota system with the negative coherent coupling in an optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    3. Liu, Wenjun & Zhang, Yujia & Wazwaz, Abdul Majid & Zhou, Qin, 2019. "Analytic study on triple-S, triple-triangle structure interactions for solitons in inhomogeneous multi-mode fiber," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 325-331.
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