【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.更多还原

【Abstract】 This paper is concerned with the standing waves of the coupled nonlinear SchrSdinger equations with harmonic potentials which describe the Bose-Einstein conden- sate 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.更多还原