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Space–time evolution of two-bright-one-dark solitons in the partially nonlocal three-component NLS system

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  • Wu, Hong-Yu

Abstract

This study investigates a (2+1)-dimensional three-component nonlinear Schrödinger system featuring partially nonlocal nonlinearity under combined parabolic and linear potentials. To obtain optical soliton solutions, a variable mapping relation between nonautonomous and autonomous equations is established. Leveraging this mapping relation and applying the bilinearization method, vector soliton solutions are analytically derived, including both two-bright-one-dark one-soliton and two-soliton configurations. Furthermore, their space–time dynamics is examined and the formation of multi-layer and multi-hump structures influenced by the Hermite parameter is analyzed.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p2:s0960077925010458
    DOI: 10.1016/j.chaos.2025.117032
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    References listed on IDEAS

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    1. Xu, Yun-Jie, 2023. "Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. 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).
    3. Zhu, Yu & Yang, Jing & Zhang, Yutong & Qin, Wei & Wang, Shaohui & Li, Jitao, 2024. "Ring-like double-breathers in the partially nonlocal medium with different diffraction characteristics in both directions under the external potential," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    4. 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).
    5. Chen, Yi-Xiang, 2024. "(3+1)-dimensional partially nonlocal ring-like bright-dark monster waves," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    Full references (including those not matched with items on IDEAS)

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