参数可变强非局域非线性介质中球贝塞尔孤立波  

Spherical Bessel Solitary Waves in Strongly Non-local Nonlinear Media with Variable Parameters

作　　者：梁检初 万凯 刘佟 强娜 李雅洁 徐四六[3] LIANG Jianchu;WAN Kai;LIU Tong;QIANG Na;LI Yajie;XU Siliu(School of Electronic Information and Electrical Engineering,Huizhou University,Huizhou 516007,Guangdong,China;Guangdong Provincial Key Laboratory of Electronic Functional Materials and Devices,Huizhou University,Huizhou 516007,Guangdong China;Hubei University of Science and Technology,Xianning 437100,Hubei,China)

机构地区：[1]惠州学院电子信息与电气工程学院,广东惠州516007 [2]广东省电子功能材料与器件重点实验室,广东惠州516007 [3]湖北科技学院电子信息工程学院,湖北咸宁437199

出　　处：《惠州学院学报》2022年第3期63-69,共7页Journal of Huizhou University

基　　金：国家自然科学基金(61372064,62103159);广东省基础与应用基础研究基金项目(2021A1515010282,2114050002323);惠州市科技计划项目(2020SD0406034)。

摘　　要：研究了具有参数可变强非局域非线性效应的玻色-爱因斯坦凝聚中物质波的演化。首次获得参数可变系统中三维强非局域Gross-Pitaevskii方程的解析解即自相似球贝塞尔孤立波解。存在于强非局域非线性相互作用能的BEC中的物质波强度即粒子数密度的径向呈球贝塞尔函数分布,角向呈球谐函数分布,且波强随自相似变量的变化关系不随演化时间而改变。物质波具有线性相位和空间啁啾。The evolution of matter waves in Bose-Einstein condensations with both strong non-local nonlinear effects and variable parameters is studied. For the first time, the self-similar spherical Bessel solitary wave solution of the three-dimensional strongly non-local Gross-Pitaevskii equation with variable parameters is obtained. The intensity of matter wave existing in the BEC with strong non-local nonlinear interaction energy, namely the particle number density, is distributed in the radial direction as a spherical Bessel function, and in the angular direction as a spherical harmonic function. The wave intensity varies with self-similar variables, however,does not change with evolution time. Such a matter wave has linear phase and spatial chirp.

关 键 词：强非局域 参数可变 孤立波 自相似 

分 类 号：O469[理学—凝聚态物理]