基于N×N等谱特征值问题的广义多变元AKNS方程族

The generalized multi-component AKNS hierarchy associated with NN isospectral eigenvalue problem

基于一个N×N的等谱特征值问题,利用屠格式导出了广义多变元AKNS孤立子方程族.并且,它是Liouville可积的.另外,这一族方程可约化为著名的非线性薛定谔方程.

Based on an isospectral eigenvalue problem,a hierarchy of generalized multi-component AKNS soliton hierarchy is derived by using the Tu scheme. Moreover, it is Liouville integrable and can be reduced to the well-known nonlinear Schrdinger equations.