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有弱偏置磁场及含时激光场中的非线性Gross-Pitaevskii方程新的精确解
引用本文:李画眉.有弱偏置磁场及含时激光场中的非线性Gross-Pitaevskii方程新的精确解[J].中国物理 B,2005,14(2):251-256.
作者姓名:李画眉
作者单位:Department of Physics, Zhejiang Normal University, Jinhua 321004, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No 10372094), the Natural Science Foundation of Zhejiang Province, China (Grant No 102053) and the Foundation of Zhejiang Education Committee (Grant No 20030706).
摘    要:利用映射方法和一个适当的变换,得到大量的有弱偏置磁场及含时激光场中的非线性Gross-Pitaevskii方程的新解,这些解包括椭圆函数解,椭圆函数叠加解,三角函数解,亮孤子解,暗孤子解和类孤子解。

关 键 词:Gross-Pitaevskii方程  精确解  映射方法
收稿时间:4/7/2004 12:00:00 AM

New exact solutions of nonlinear Gross—Pitaevskii equation with weak bias magnetic and time-dependent laser fields
Li Hua-Mei.New exact solutions of nonlinear Gross—Pitaevskii equation with weak bias magnetic and time-dependent laser fields[J].Chinese Physics B,2005,14(2):251-256.
Authors:Li Hua-Mei
Institution:Department of Physics, Zhejiang Normal University, Jinhua 321004, China
Abstract:By using the mapping method and an appropriate transformation, we find new exact solutions of nonlinear Gross—Pitaevskii equation with weak bias magnetic and time-dependent laser fields. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions , triangular function solutions, bright and dark solitons, and soliton-like solutions.
Keywords:Gross—Pitaevskii equation  exact solution  mapping method
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