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3D partially nonlocal ring-like Kuznetsov-Ma and Akhmediev breathers of NLS model with different diffractions under a linear potential

Author

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  • Wu, Hong-Yu
  • Jiang, Li-Hong

Abstract

The Kuznetsov-Ma (KM) and Akhmediev breathers were intensely investigated in the local circumstance, however the 3D partially nonlocal ring-like KM and Akhmediev breathers are hardly studied. This manuscript aims to analyze the partially nonlocal characteristics of ring-like KM and Akhmediev breathers in view of a 3D partially nonlocal nonlinear Schrödinger model with different diffractions under a linear potential. On account of the φ-to-Φ relation, approximate analytical forms of partially nonlocal ring-like KM and Akhmediev breathers are constructed. Ring-like KM breather presents localized rings in the space, and these rings periodically appear in time axis. With the enlargement of Hermite parameter λ, the ring number adds as λ+1 along the z axis. Ring-like Akhmediev breather presents localized structures in time axis, and ring structures recur in the space. With the amplifying Hermite parameter λ, the layer number of the structure of the circular extension increases as λ+1 along the z axis.

Suggested Citation

  • Wu, Hong-Yu & Jiang, Li-Hong, 2024. "3D partially nonlocal ring-like Kuznetsov-Ma and Akhmediev breathers of NLS model with different diffractions under a linear potential," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924004144
    DOI: 10.1016/j.chaos.2024.114862
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