Prolongation structures and matter-wave solitons in F=1 spinor Bose-Einstein condensate with time-dependent atomic scattering lengths in an expulsive harmonic potential

被引：31
作者：
Wang, Deng-Shan [1 ]
Ma, Yu-Quan [1 ]
Li, Xiang-Gui [1 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Similarity transformation; Prolongation structure; Linear spectral problem; Gross-Pitaevskii equation; Matter-wave soliton;
D O I：
10.1016/j.cnsns.2014.02.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the integrability and matter-wave solitons in a system of three component Gross-Pitaevskii equation arising from the context of F = 1 spinor Bose-Einstein condensate with time-dependent atomic scattering lengths in an expulsive harmonic potential are investigated by similarity transformation, prolongation technique and Riemann-Hilbert formulation. As a result, some new exact nonautonomous matter-wave soliton solutions with varying amplitudes and speeds are obtained. It is shown that there exist two integrable systems and exact N-matter-wave solitons in spin-1 Bose-Einstein condensates with time-dependent s-wave scattering lengths. The collision dynamics of the two matter-wave solitons are analyzed and the shape changing interaction phenomena are found. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：3556 / 3569
页数：14
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