离散偶极玻色爱因斯坦凝聚系统的行波解  

Traveling wave solutions for discrete dipole Bose-Einstein condensate system

作　　者：何飞龙 李甜甜 HE Feilong;LI Tiantian(School of Physics and Optoelectronics,Xiangtan University,Xiangtan 411105,China)

机构地区：[1]湘潭大学物理与光电工程学院,湖南湘潭411105

出　　处：《湘潭大学学报（自然科学版）》2024年第3期74-81,共8页Journal of Xiangtan University(Natural Science Edition)

基　　金：国家自然科学基金(11904309,11847096);湖南省自然科学基金(2020JJ5528)。

摘　　要：离散非线性薛定谔方程(DNLSE)在研究复杂物理系统中发挥着极为重要的作用.该文研究光学晶格中偶极玻色-爱因斯坦凝聚体(BEC)的动力学特性,其运动过程可以用一个DNLSE描述.利用变系数G′/G-展开法求解方程得到了3种带有参数的行波解,分别是双曲函数型解、三角函数型解和有理型解.在一定的参数条件下,得到了振幅相等的离散亮孤子阵列,研究了函数解的自由参数对亮孤子振幅的影响.该研究对复杂的离散非线性模型动力学研究有参考意义.Discrete nonlinear Schrodinger equations(DNLSE)play an important role in the research of complex physical systems.In this paper,we study the movement of the dipole Bose-Einstein condensate(BEC)in an optical lattice,the dynamic is described by a DNLSE.As a result,three kinds of traveling wave solutions with parameters are obtained by using the extend G′/G-expansion method,which are hyperbolic function solutions,trigonometric function solutions,and rational function solutions.Under some parameter conditions,a discrete array of bright solitons with the same amplitude is obtained.We also study the effect of parameters on the amplitude of soliton.This paper may be helpful to the dynamics study of complex discrete nonlinear physical models.

关 键 词：变系数G′/G-展开方法 行波解 亮孤子 

分 类 号：O469[理学—凝聚态物理]