三维非线性Schrdinger方程的直接微扰方法

Direct perturbation method applied to three-dimensional nonlinear Schrdinger equation

将直接微扰方法应用于含微扰的三维非线性Schrdinger方程,获得了该方程的包括零阶和一阶修正的近似解析解.借助得到的解析解,分析了微扰对孤子参数的影响。

By applying the direct perturbation method to the 3-dimensional nonlinear Schrdinger equation with perturbation,we obtain its asymptotical solutions,which contain not only the zero-order solutions,but also the first-order corrections.Through these solutions,the effect of perturbation on the soliton is analyzed as well.