Bright and dark soliton solutions in growing Bose—Einstein condensates

doi:10.1088/1674-1056/19/7/070503

Abstract This paper develops the Hirota method carefully for applying into the growing model of quasi-one-dimensional Bose—Einstein condensations with attractive and repulsive interaction, respectively. After a tedious calculation it obtains the exact bright and dark soliton solutions analytically. It shows that the growing model has the important effect on the soliton amplitude and the time-dependent potential only contributes to the phase and phase velocity. A detailed analysis for the asymptotic behaviour of two-soliton solutions shows that the collision of two soliton is elastic.

Keywords: bright soliton dark soliton growing Bose--Einstein condensates

Accepted manuscript online:

PACS:	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	05.45.Yv	(Solitons)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10874038) and the Natural Science Foundation of Hebei Province of China (Grant No. A2008000006).

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Song Wei-Wei(宋伟为), Li Qiu-Yan(李秋艳), Li Zai-Dong(李再东), and Fu Guang-Sheng(傅广生) Bright and dark soliton solutions in growing Bose—Einstein condensates 2010 Chin. Phys. B 19 070503

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Bright and dark soliton solutions in growing Bose—Einstein condensates

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