二维Bose-Einstein凝聚中孤波的非线性特性  

The Nonlinear Properties of Solitary Wave in Two Dimensional-Bose-Einstein Condensation

作　　者：陈永良[1] 张志平[2] 

机构地区：[1]青海师范大学民族师范学院数学系,西宁810008 [2]河南大学数学与统计学院,河南开封475001

出　　处：《河南大学学报（自然科学版）》2015年第6期646-649,共4页Journal of Henan University:Natural Science

基　　金：国家自然科学基金资助项目(11061026);河南省教育厅科学技术研究重点项目(14A110021)

摘　　要：主要研究了盘状势阱中二维Bose-Einstein凝聚(BEC)的孤立波.在平均场理论下,由BEC所满足的Gross-Pitaevkii方程出发导出了二维的非线性Schrdinger方程.运用约化摄动法得到了电子声孤波的KdV方程,从而得到孤波解.发现散射长度与玻色子之间相互作用的耦合参数与孤立波有关系.The solition wave in Bose-Einstein condensate with disk-shaped trap is investigated in this paper.Under the mean feld,a two-dimensional nonlinear Schrdinger equation is obtained.By using the transverse perturbation method,a（KdV）equation for the nonlinear electron acoustic solitary waves is derived.The soliton solution is also obtained.It is found that the coupling parameter of interaction between scattering length and Bose depends on solitary waves.

关 键 词：非线性波 孤波方程 孤立子 BOSE-EINSTEIN凝聚 

分 类 号：O397[理学—工程力学] O276[理学—力学]