【摘要】 在三维空间中研究了一类耦合非线性Schr dinger方程组的初值问题 .首先利用变分法得出了具基态的孤立子的存在性 ,然后根据这个结果和有关定理证明了该孤立子的不稳定性更多还原

【Abstract】 The authors studied the initial value problem of a class of coupled nonlinear Schrdinger equations in three space dimensions.Firstly,the existence of solitons associated with the ground states is obtained by variational calculus,and then the instability of the solitons is proved according to the result.更多还原