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Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials

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  • Xu, Yun-Jie

Abstract

Via the link between φp of a (3＋1)-dimensional variable-coefficient coupled partially nonlocal nonlinear Schrödinger system (NLSS) and Φ of constant-coefficient NLSS, considering the ring approximation and by means of the Darboux approach, we derive vector ring-like combined Akhmediev breathers(AB), including ring-like combined AB-doublet and ring-like combined AB with giant wave. From this breather solution, we find that physical quantities such as amplitude, width, center and phase are strongly affected by parameters of diffraction, linear potential and phase chirp. Moreover, we study the influence of parameters for radius and thickness on the form of vector ring-like combined AB.

Suggested Citation

  • Xu, Yun-Jie, 2023. "Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    • Handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923012109
    DOI: 10.1016/j.chaos.2023.114308
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    References listed on IDEAS

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    1. Wu, Hong-Yu, 2025. "Space–time evolution of two-bright-one-dark solitons in the partially nonlocal three-component NLS system," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    2. He, Jun-Rong & Zeng, Liangwei & Huang, Yongpeng & Lin, Ji, 2024. "Spiraling elliptic beam arrays in strongly nonlocal nonlinear media," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    3. Yang, Jing & Chen, Zezhou & Zhu, Yu & Qin, Wei & Li, Jitao, 2025. "Hierarchy of three-component dark–bright–dark annular rogue waves," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    4. Xu, Tong-Zhen & Liu, Jin-Hao & Wang, Yue-Yue & Dai, Chao-Qing, 2024. "Vector multipole solitons of fractional-order coupled saturable nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    5. Chen, Liang-Yuan & Wu, Hong-Yu, 2025. "Dark-bright-dark rogue wave triplets within a partially nonlocal three-component nonlinear Schrödinger framework," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).

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