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带调和势非线性Schrodinger方程组的驻波非线性不稳定性
  • 期刊名称：数学年刊A辑(中文版)
  • 时间：0
  • 页码：605-616
  • 语言：中文
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]四川师范大学数学与软件科学学院,成都610066, [2]成都理工大学信息管理学院,成都610059
  • 相关基金：国家自然科学基金（No.10771151和No.10726033）,四川省教育厅重点科研基金（No.2006A063）和四川省科技厅应用基础科研基金（No.07JY029-012）资助的项目.
  • 相关项目：非线性波动系统整体存在的最佳条件与驻波的稳定性
作者： 陈光淦|
关键词： BOSE-EINSTEIN凝聚, 非线性SCHRODINGER方程组, 驻波, 非线性不稳定, Bose-Einstein condensates, Standing waves, Nonlinear Coupled nonlinear SchrSdinger equations, instability
中文摘要：

考虑模拟在磁场势下的Bose—Eistein凝聚现象的非线性Schrodinger方程组，运用约束变分法，获得了其驻波的存在性．进一步证明了其驻波的非线性不稳定性．

英文摘要：

This paper is concerned with the standing waves of the coupled nonlinear SchrSdinger equations with harmonic potentials which describe the Bose-Einstein condensate under the magnetic trap. Using the constrained variational argument, the authors establish the existence of the standing waves for the system. Furthermore, the nonlinear instability of the standing waves is proved.

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非线性波动系统整体存在的最佳条件与驻波的稳定性
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