带调和势非线性Schr(?)dinger方程组的驻波非线性不稳定性  

Nonlinear Instability of the Standing Waves for the Coupled Nonlinear SchrSdinger Equations with Harmonic Potentials

作　　者：陈光淦[1] 魏赟赟[2] 

机构地区：[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

出　　处：《数学年刊（A辑）》2008年第5期605-616,共12页Chinese Annals of Mathematics

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);四川省科技厅应用基础科研基金(No．07JY029-012)资助的项目．

摘　　要：考虑模拟在磁场势下的Bose-Eistein凝聚现象的非线性Schr■dinger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.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.

关 键 词：BOSE-EINSTEIN凝聚 非线性SCHRODINGER方程组 驻波 非线性不稳定 

分 类 号：O175.29[理学—数学]