Tu族演化方程的换位表示

Commutator Representations for the Tu Hierarchy of Evolution Equations

本文利用特征值的泛函梯度方法,先给出Tu谱问题的Lenard算子对;尔后通过求解一个关键性的算子方程,得到Tu谱问题的演化方程族之换位表示。

In this article, by making use of the eigenvaluable functional gradient method, we first give the Lenard's operators pair for the Tu spectral problem, then through resolving a key operator equation obtain the commutator representations of evolution equations for the Tu spectral problem.