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

页码：3556 / 3569

页数：14

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