 3D partially nonlocal ring-like Kuznetsov-Ma and Akhmediev breathers of NLS model with different diffractions under a linear potentialHong-Yu Wu and Li-Hong Jiang Chaos, Solitons & Fractals, 2024, vol. 182, issue C 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. Keywords: 3D NLS model; Variable coefficient; Ring-like KM and Akhmediev breathers (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924004144 DOI: 10.1016/j.chaos.2024.114862 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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