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Ring-like two-breather structures of a partially nonlocal NLS system with different two-directional diffractions under a parabolic potential

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  • Chen, Liang-Yuan
  • Wu, Hong-Yu
  • Jiang, Li-Hong

Abstract

Via a relation of the hypothetic solution, a variable-coefficient partially nonlocal nonlinear Schrödinger(NLS) system with different diffractions under a parabolic potential is associated with the constant-coefficient system. Ring-like two-breather solution of the variable-coefficient partially nonlocal NLS system is constructed by mapping the related solution of the constant-coefficient system. The characteristics of two-breather in the constant-coefficient system influence the properties of ring-like two-breather in the variable-coefficient partially nonlocal NLS system in xyt plane. In the xyz plane, the layer number of the ring-like two-breather along the z-direction augments with the add of the Hermite parameter.

Suggested Citation

  • Chen, Liang-Yuan & Wu, Hong-Yu & Jiang, Li-Hong, 2024. "Ring-like two-breather structures of a partially nonlocal NLS system with different two-directional diffractions under a parabolic potential," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012328
    DOI: 10.1016/j.chaos.2023.114330
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    References listed on IDEAS

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    1. Fang, Yin & Bo, Wen-Bo & Wang, Ru-Ru & Wang, Yue-Yue & Dai, Chao-Qing, 2022. "Predicting nonlinear dynamics of optical solitons in optical fiber via the SCPINN," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    2. Zhou, Qin & Triki, Houria & Xu, Jiakun & Zeng, Zhongliang & Liu, Wenjun & Biswas, Anjan, 2022. "Perturbation of chirped localized waves in a dual-power law nonlinear medium," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    3. Zhu, Bo-Wei & Fang, Yin & Liu, Wei & Dai, Chao-Qing, 2022. "Predicting the dynamic process and model parameters of vector optical solitons under coupled higher-order effects via WL-tsPINN," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    4. 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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