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On a coupled nonlocal nonlinear Schrödinger system

Author

Listed:
  • Ji, Jia-Liang
  • Kai, Yue
  • Xu, Zong-Wei
  • Ma, Li-Yuan

Abstract

Recently, Ablowitz and Musslimani have introduced a new integrable nonlocal nonlinear Schrödinger equation. In this paper, we investigate an integrable coupled nonlocal nonlinear Schrödinger equation which can be derived from the AKNS system. The Darboux transformation is constructed for this equation. Via this Darboux transformation, we obtain its different kinds of exact solutions including soliton, kink, periodic solutions and so on. Dynamics and interactions of different kinds of soliton solutions are discussed. Finally, we compare the obtained results with standard coupled NLS equation.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922009407
    DOI: 10.1016/j.chaos.2022.112761
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    References listed on IDEAS

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    1. 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).
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    Cited by:

    1. Song, Cai-Qin & Liu, Dan-Ya & Ma, Li-Yuan, 2024. "Soliton solutions of a novel nonlocal Hirota system and a nonlocal complex modified Korteweg–de Vries equation," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Wu, Jianping, 2024. "Spectral structures and soliton dynamical behaviors of two shifted nonlocal NLS equations via a novel Riemann–Hilbert approach: A reverse-time NLS equation and a reverse-spacetime NLS equation," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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