Nonlinear Waves in a Cigar-Shaped Bose-Einstein Condensate with Dissipation

作     者：YANG Xiao-Xian SHI Yu-Ren DUAN Wen-Shan 

作者机构：College of Physics and Electronic Engineering Northwest Normal University Lanzhou 730070 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2008年第49卷第1期

页      面：119-122页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The project partially supported by National Natural Science Foundation of China under Grant No.10575082 the Natural Science Foundation of Gansu Province under Grant No.3ZS061-A25-014 the Natural Science Foundation of Northwest Normal University under Grant No.NWNU-KJCXGC-03-17 

主　　题：Bose Einstein condensate GP equation KdV-type equation 

摘      要：We discuss the possible nonlinear waves of atomic matter waves in a cigar-shaped Bose-Einstein condensatewith dissipation. The waves can be described by a KdV-type equation. The KdV-type equation has a solitary wave solution. The amplitude, speed, and width of the wave vary exponentially with time t. The dissipative term of ~/ plays an important role for the wave amplitude, speed, and width. Comparisons have been given between the analytical solutions and the numerical results. It is shown that both are in good agreement.