Abstract The evolution of solitons in Bose--Einstein condensates (BECs) with time-dependent atomic scattering length in an expulsive parabolic potential is studied. Based on the extended hyperbolic function method, we successfully obtain the bright and dark soliton solutions. In addition, some new soliton solutions in this model are found. The results in this paper include some in the literature (Phys. Rev. Lett.94 (2005) 050402 and Chin. Phys. Lett.22 (2005) 1855).
Received: 24 November 2005
Revised: 02 June 2006
Accepted manuscript online:
PACS:
03.75.Lm
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
Fund: Project supported by the
National Natural Science Foundation of China (Grant Nos 1057508 and
10302018), the Natural
Science Foundation of Zhejiang Province, China
(Grant No Y605056).
Cite this article:
Li Hua-Mei(李画眉) Dynamics of solitons in Bose-Einstein condensate with time-dependent atomic scattering length 2006 Chinese Physics 15 2216
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