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Vector peregrine composites on the periodic background in spin–orbit coupled Spin-1 Bose–Einstein condensates

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  • Chen, Yi-Xiang

Abstract

Vector Gross–Pitaevskii system in spin–orbit coupled Spin-1 Bose–Einstein condensates is simplified into Manakov system. By means of the nonrecursive Darboux method, vector Peregrine solutions were given, including first-order and second-order vector Peregrine solutions with four structural parameters. From these solutions, vector peregrine composites on the periodic background are found by modulating the magnitudes of four structural parameters, including first-order and second-order Peregrine structures on the periodic background, and Peregrine doublets and Peregrine “three sisters” on the periodic background. The influence of the wave number and amplitude parameters on the first-order and second-order Peregrine structures on the periodic background for three components is studied. These results will provide a deeper understanding of nonlinear wave phenomena in spin–orbit coupled Spin-1 Bose–Einstein condensates.

Suggested Citation

  • Chen, Yi-Xiang, 2023. "Vector peregrine composites on the periodic background in spin–orbit coupled Spin-1 Bose–Einstein condensates," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001522
    DOI: 10.1016/j.chaos.2023.113251
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    1. 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).
    2. D. R. Solli & C. Ropers & P. Koonath & B. Jalali, 2007. "Optical rogue waves," Nature, Nature, vol. 450(7172), pages 1054-1057, December.
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    Cited by:

    1. Qi, Linming & Liu, Lu & Zhao, Weiliang, 2024. "Mixed localized waves in the coupled nonlinear Schrödinger equation with higher-order effects," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Zhu, Yu & Yang, Jing & Chen, Zezhou & Qin, Wei & Li, Jitao, 2024. "Ring-like partially nonlocal extreme wave of a (3+1)-dimensional NLS system with partially nonlocal nonlinearity and external potential," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    3. Jiang, Jun-Hang & Si, Zhi-Zeng & Dai, Chao-Qing & Wu, Bin, 2024. "Prediction of multipole vector solitons and model parameters for coupled saturable nonlinear Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    4. Xu, Yun-Jie, 2023. "Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    5. 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).

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