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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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