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
{"title":"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","authors":"Emmanuel Yomba","doi":"10.1016/j.physleta.2024.130012","DOIUrl":null,"url":null,"abstract":"<div><div>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 <em>p</em> increases the number of concentric layers in the ring-like extreme waves by <span><math><mi>p</mi><mo>+</mo><mn>1</mn></math></span>. Additionally, incorporating gain and loss effects enhances the model's applicability to real-world scenarios.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":null,"pages":null},"PeriodicalIF":2.3000,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375960124007060","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
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 . Additionally, incorporating gain and loss effects enhances the model's applicability to real-world scenarios.
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.