中国物理B ›› 2007, Vol. 16 ›› Issue (11): 3187-3191.doi: 10.1088/1009-1963/16/11/007

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Exact periodic wave and soliton solutions in two-component Bose--Einstein condensates

李画眉   

  1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • 出版日期:2007-11-20 发布日期:2007-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China(Grant Nos 10575087 and 10302018), and the Natural Science Foundation of Zhejiang Province, China (Grant No Y605056).

Exact periodic wave and soliton solutions in two-component Bose--Einstein condensates

Li Hua-Mei (李画眉)†   

  1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • Online:2007-11-20 Published:2007-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China(Grant Nos 10575087 and 10302018), and the Natural Science Foundation of Zhejiang Province, China (Grant No Y605056).

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摘要： We present several families of exact solutions to a system of coupled nonlinear Schr\"{o}dinger equations. The model describes a binary mixture of two Bose--Einstein condensates in a magnetic trap potential. Using a mapping deformation method, we find exact periodic wave and soliton solutions, including bright and dark soliton pairs.

关键词: two-component Bose--Einstein condensates, exact solutions, mapping deformation method

Abstract: We present several families of exact solutions to a system of coupled nonlinear Schr?dinger equations. The model describes a binary mixture of two Bose--Einstein condensates in a magnetic trap potential. Using a mapping deformation method, we find exact periodic wave and soliton solutions, including bright and dark soliton pairs.

Key words: two-component Bose--Einstein condensates, exact solutions, mapping deformation method

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

  • 03.75.Lm
02.30.Jr (Partial differential equations)