Vector annular rogue wave quartets and sextets

doi:10.1016/j.chaos.2025.116218

2025-05-01

PRE

Su-Guang Shi

Li Chen *

DOI：10.1016/j.chaos.2025.116218

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摘要

En 中文

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 Schr & ouml;dinger 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. Rogue波，特别是高阶形式，在各种应用场景中遇到时，已成为描述物理机制的关键载体。本文旨在构建(2+1)维(2D)耦合非线性Schrödinger方程的矢量环形高阶Rogue波。矢量明-明环形Rogue波四重态和六重态表现出层状环-环嵌套结构。半径和厚度参数对明-明环形Rogue波四重态和六重态的环形结构有影响，其环形结构的半径和厚度通过改变这些参数在近似解中进行调制。对这些高阶Rogue波环形结构的相关研究为原子数或光能的激增提供了潜在应用。

Keyword:

2D coupled nonlinear Schr & ouml

dinger equation

Vector annular structure

High-order rogue wave