Ring/vortex-like extreme wave in the partially nonlocal medium with different diffraction characteristics in both directions under influence of external potential and gain/loss

IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Emmanuel Yomba
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引用次数: 0

Abstract

In this study, we analyze a (3+1)-dimensional partially nonlocal nonlinear Schrödinger (NLS) model, which incorporates various diffraction effects, gain or loss mechanisms, and confinement within linear and parabolic potentials. By reducing this complex model to a (2+1)-dimensional framework, we uncover analytical solutions that exhibit high-dimensional extreme wave structures with Hermite-Gaussian envelopes, illustrating the model's nonautonomous characteristics. Our investigation focuses on ring-like and vortex-like extreme waves, examining how different parameters—such as radius, Hermite parameter, gain, and thickness—affect these wave structures. Specifically, we find that, for fixed thickness, Hermite, and gain parameters, the radius influences the size of the wave structures. Conversely, with a fixed radius, Hermite, and thickness parameters, the gain parameter modifies the wave properties. The introduction of the Hermite parameter p increases the number of concentric layers in the ring-like extreme waves by p+1. Additionally, incorporating gain and loss effects enhances the model's applicability to real-world scenarios.
部分非局部介质中的环状/漩涡状极端波,在外部势能和增益/损耗的影响下,在两个方向上具有不同的衍射特性
在本研究中,我们分析了一个 (3+1) 维部分非局部非线性薛定谔(NLS)模型,该模型包含各种衍射效应、增益或损耗机制以及线性和抛物线势中的约束。通过将这一复杂模型还原为 (2+1)-dimensional 框架,我们发现了具有 Hermite-Gaussian 包络的高维极值波结构的解析解,说明了该模型的非自主特性。我们的研究重点是环状和涡状极值波,考察了不同参数(如半径、赫米特参数、增益和厚度)对这些波结构的影响。具体来说,我们发现在厚度、赫米特参数和增益参数固定的情况下,半径会影响波浪结构的大小。相反,在半径、Hermite 和厚度参数固定的情况下,增益参数会改变波的特性。引入赫米特参数 p 后,环状极波的同心层数增加了 p+1。此外,增益和损耗效应的加入增强了模型在现实世界中的适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Physics Letters A
Physics Letters A 物理-物理:综合
CiteScore
5.10
自引率
3.80%
发文量
493
审稿时长
30 days
期刊介绍: Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.
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