Nonautonomous solitons of Bose-Einstein condensation in a linear potential with an arbitrary time-dependence

OPTICS COMMUNICATIONS

卷:282

Article

Li, Qiu-Yan^1,2  Li, Zai-Dong¹  Wang, Shu-Xin¹  Song, Wei-Wei¹  Fu, Guangsheng² 

[1] Hebei Univ Technol, Dept Appl Phys, Tianjin 300401, Peoples R China

[2] Hebei Univ Technol, Sch Informat Engn, Tianjin 300401, Peoples R China

关键词: Nonautonomous soliton solution;    Interaction;    Hirota method;    Bose-Einstein condensation;   

DOI  :  10.1016/j.optcom.2009.01.004

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier B.V. All rights reserved.

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