一类耦合非线性Schrdinger方程组的孤立子波

Solitons for a Class of Coupled Nonlinear Schrdinger Equations

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 。

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.