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

Details 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

2010-12-25

arxiv.org/abs/1012.5475v1

Opt. Commun. 282, 1676 (2009)

Physics

Condensed Matter

Other Condensed Matter

6 pages

Scientific paper

10.1016/j.optcom.2009.01.004

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.

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