期刊
NONLINEAR DYNAMICS
卷 69, 期 3, 页码 1137-1148出版社
SPRINGER
DOI: 10.1007/s11071-012-0334-1
关键词
F=1 Bose-Einstein condensate; Three component Gross-Pitaevskii equation; Soliton collisions; Symbolic computation
资金
- National Natural Science Foundation of China [60772023]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02, 2009RC0708]
- State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics [SKLSDE-2010ZX-07, SKLSDE-2011KF-03]
- National High Technology Research and Development Program of China (863 Program) [2009AA043303]
- Chinese Ministry of Education [200800130006]
Under investigation in this paper is a system of three-component Gross-Pitaevskii equations, which can describe the dynamics of F=1 spinor Bose-Einstein condensates in one dimension. By employing the Hirota method and symbolic computation, we obtain the explicit bright one- and two-soliton solutions for the system in the integrable case, which is associated with the attractive mean-field collision and ferromagnetic spin-exchange collision. According to the spin states, we classify the one-soliton solutions into two types: the ferromagnetic and polar solitons. Ferromagnetic solitons in three components share the same pulse shape. Polar solitons in three components have the one- or two-peak profiles, and the separated distance between two peaks is related to the polarization parameters. Based on the asymptotic analysis, collisions between two solitons are discussed in the polar-polar, polar-ferromagnetic, and ferromagnetic-ferromagnetic cases, respectively.
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