Vector annular rogue wave quartets and sextets

Su-Guang Shi and Li Chen

Chaos, Solitons & Fractals, 2025, vol. 194, issue C

Abstract: Rogue waves, especially high-order forms, have become crucially important carriers of describing the physical mechanism when they are encountered in various application scenarios. This paper aims to construct vector annular high order rogue waves of the (2+1)-dimensional (2D) coupled nonlinear Schrödinger equation. Vector bright–bright annular rogue wave quartets and sextets exhibit layer-like ring–ring–nested structures. The radius and thickness parameters have impact on the annular structures of bright–bright annular rogue wave quartets and sextets, whose radius and thickness of the annular structures are modulated by altering these parameters in approximate solution. The related study for these annular structures of high order rogue wave provides the potential application for the surge of atomic number or optical energy.

Keywords: 2D coupled nonlinear Schrödinger equation; Vector annular structure; High-order rogue wave (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925002310

DOI: 10.1016/j.chaos.2025.116218

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