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High-order rogue waves excited from incident momentum modulation in two-component Bose–Einstein condensates

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  • Zhang, Zhihao
  • Li, Tiantian
  • Bai, Xiao-Dong
  • Zhang, Yunbo
  • Wang, Denglong

Abstract

The nonlinear interaction dynamics of two first-order rogue waves (RWs) with opposite incident momentum in two-component Bose–Einstein condensates (BECs) are studied by solving the two-component one-dimensional Gross–Pitaevskii (GP) equation. It is demonstrated that the introduction of appropriate incident momentum successfully promotes the generation of second-order RWs in the case of relatively weaker interspecies interactions compared to intraspecies interactions. The range of incident momentum that can facilitate the generation of second-order RWs under different interspecies interaction strengths is determined, and machine learning is employed to find and analyze relationships among the interspecies interaction, the incident momentum, and the offset that can lead to the generation of second-order RWs. It shows that any two parameters above exhibit a positive or negative correlation when the third parameter is fixed. These findings provide additional possibilities for generating and controlling high-order RWs.

Suggested Citation

  • Zhang, Zhihao & Li, Tiantian & Bai, Xiao-Dong & Zhang, Yunbo & Wang, Denglong, 2026. "High-order rogue waves excited from incident momentum modulation in two-component Bose–Einstein condensates," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    • Handle: RePEc:eee:chsofr:v:202:y:2026:i:p2:s0960077925016327
    DOI: 10.1016/j.chaos.2025.117619
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    References listed on IDEAS

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    1. Djelah, Gabriel & Ndzana, Fabien II & Abdoulkary, Saidou & Mohamadou, Alidou, 2023. "First and second order rogue waves dynamics in a nonlinear electrical transmission line with the next nearest neighbor couplings," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
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