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Solitonic coalescence and rogue waves for the coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fiber

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  • Zhang, Chen-Rong
  • Tian, Bo
  • Liu, Lei
  • Chai, Han-Peng
  • Yin, Hui-Min

Abstract

Coupled nonlinear Schrödinger system with negative coherent coupling in a weakly birefringent fiber is hereby studied. For the slowly varying envelopes of two interacting optical modes, analytic soliton solutions with the coalescence of eigenvalues are derived. Based on the asymptotic analyses, we find three kinds of the counterpropagating solitons, indicating that they consist of the so-called nondegenerate or degenerate solitons. From the plane-wave seed solutions with the certain eigenvalues, single-peak rogue waves are exhibited as well.

Suggested Citation

  • Zhang, Chen-Rong & Tian, Bo & Liu, Lei & Chai, Han-Peng & Yin, Hui-Min, 2020. "Solitonic coalescence and rogue waves for the coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fiber," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    • Handle: RePEc:eee:chsofr:v:136:y:2020:i:c:s096007792030165x
    DOI: 10.1016/j.chaos.2020.109763
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    Cited by:

    1. Ji, Jia-Liang & Kai, Yue & Xu, Zong-Wei & Ma, Li-Yuan, 2022. "On a coupled nonlocal nonlinear Schrödinger system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Zhong, WenYe & Qin, Pei & Zhong, Wei-Ping & Belić, Milivoj, 2022. "Two-dimensional rogue wave clusters in self-focusing Kerr-media," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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