{"title":"Nonlinear tunneling of partially nonlocal dark-dark annular sneaker waves under a parabolic potential","authors":"","doi":"10.1016/j.cjph.2024.10.012","DOIUrl":null,"url":null,"abstract":"<div><div>Annular rogue waves have been reported, but little is known about how to excite and control them, particularly their tunneling effect. From the projecting relation between the vector partially nonlocal nonlinear Schrödinger equation possessing different transverse-directional diffractions and the parabolic potential and vector constant-coefficient nonlinear Schrödinger equation, via the Darboux method, partially nonlocal dark-dark annular sneaker wave approximate solutions are found. Two aspects of the study are carried out: (i) four excitations of partially nonlocal dark-dark annular sneaker waves including complete, delayed, valley-maintained and prohibitive excitations and (ii) nonlinear tunneling of partially nonlocal dark-dark annular sneaker waves are studied. The influence of two parameters <span><math><mi>R</mi></math></span> and <span><math><mi>l</mi></math></span> on dark-dark annular sneaker waves is also analyzed. The partially nonlocal characteristics of dark-dark annular sneaker waves passing through the nonlinear well implies that the layer of annular sneaker wave structures increases in <span><math><mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow></math></span>-coordinate when the value of the Hermite parameter adds. These findings will further our understanding of the partially nonlocal nonlinear wave in the disciplines of cold atom and optical communication.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0577907324004003","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Annular rogue waves have been reported, but little is known about how to excite and control them, particularly their tunneling effect. From the projecting relation between the vector partially nonlocal nonlinear Schrödinger equation possessing different transverse-directional diffractions and the parabolic potential and vector constant-coefficient nonlinear Schrödinger equation, via the Darboux method, partially nonlocal dark-dark annular sneaker wave approximate solutions are found. Two aspects of the study are carried out: (i) four excitations of partially nonlocal dark-dark annular sneaker waves including complete, delayed, valley-maintained and prohibitive excitations and (ii) nonlinear tunneling of partially nonlocal dark-dark annular sneaker waves are studied. The influence of two parameters and on dark-dark annular sneaker waves is also analyzed. The partially nonlocal characteristics of dark-dark annular sneaker waves passing through the nonlinear well implies that the layer of annular sneaker wave structures increases in -coordinate when the value of the Hermite parameter adds. These findings will further our understanding of the partially nonlocal nonlinear wave in the disciplines of cold atom and optical communication.
环状流氓波已有报道,但对如何激发和控制它们,尤其是它们的隧道效应,却知之甚少。从具有不同横向衍射的矢量部分非局域非线性薛定谔方程与抛物势和矢量恒系数非线性薛定谔方程之间的投影关系出发,通过达尔布方法,找到了部分非局域暗-暗环形流氓波近似解。研究包括两个方面:(i) 部分非局部暗-暗环形运动波的四种激波,包括完全激波、延迟激波、谷保持激波和禁止激波;以及 (ii) 部分非局部暗-暗环形运动波的非线性隧穿。还分析了两个参数 R 和 l 对暗暗环形运动波的影响。通过非线性井的暗-暗环形运动波的部分非局部特性意味着,当赫米特参数值增加时,环形运动波结构层在 xyz 坐标上会增加。这些发现将进一步加深我们对冷原子和光通信学科中部分非局部非线性波的理解。
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