Nonautonomous solitons of Bose–Einstein condensation in a linear potential with an arbitrary time-dependence
Nonautonomous solitons of Bose–Einstein condensation in a linear potential with an arbitrary time-dependence
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DOI：
10.1016/j.optcom.2009.01.004
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发表时间：
2009-04
影响因子：
2.4
通讯作者：
Qiu-Yan Li;Zaidong Li;Shu-Xin Wang;W. Song;G. Fu
中科院分区：
文献类型：
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作者：
Qiu-Yan Li;Zaidong Li;Shu-Xin Wang;W. Song;G. Fu
在具有任意时间依赖性的线性势存在的情况下，为了将Hirota方法应用于具有排斥相互作用的准一维玻色-爱因斯坦凝聚的有效平均场模型，研究了Hirota方法。我们得到了精确非自治孤子解（NSS）。这些解表明，随时间变化的电势会影响NSS的速度。在某些特殊情况下，速度随时间既增大又振荡。对解的渐近行为的详细分析表明，两个nss的碰撞是弹性的。
In the presence of a linear potential with an arbitrary time-dependence, Hirota method is developed carefully for applying into the effective mean-field model of quasi-one-dimensional Bose–Einstein condensation with repulsive interaction. We obtain the exact nonautonomous soliton solution (NSS) analytically. These solutions show that the time-dependent potential can affect the velocity of NSS. In some special cases the velocity has the character of both increase and oscillation with time. A detail analysis for the asymptotic behaviour of solutions shows that the collision of two NSSs is elastic.