Prolongation structures and matter-wave solitons in F=1 spinor Bose-Einstein condensate with time-dependent atomic scattering lengths in an expulsive harmonic potential
Prolongation structures and matter-wave solitons in F=1 spinor Bose-Einstein condensate with time-dependent atomic scattering lengths in an expulsive harmonic potential
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DOI：
10.1016/j.cnsns.2014.02.019
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发表时间：
2014-10
期刊：
影响因子：
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通讯作者：
Deng‐Shan Wang;Yu-Quan Ma;Xiang-Gui Li
中科院分区：
文献类型：
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作者：
Deng‐Shan Wang;Yu-Quan Ma;Xiang-Gui Li
本文利用相似变换、延拓技术和Riemann-Hilbert公式，研究了F=1旋量玻色-爱因斯坦凝聚体的三分量Gross-Pitaevskii方程在驱除简谐势中的可积性和物质波孤子。结果得到了一些新的变化振幅和速度的非自治物质波孤子解。结果表明，在具有含时S波散射长度的自旋1玻色-爱因斯坦凝聚体中，存在两个可积系统和精确的N物质波孤子。分析了两个物质波孤子的碰撞动力学，发现了形状变化的相互作用现象。
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.