Geng方程族的无穷守恒律及其相应的泛函导数

The Infinite Conservation Laws of Geng Equation Hierarchy and the Associated Extensive Function Derivative

给出了Geng谱问题相应的等谱与非等谱发展方程,并给出等谱发展方程的无穷守恒律;通过AKNS谱问题与Geng谱问题之间的规范变换,得到了Geng谱问题相应的泛函导数.

In this paper, the isospectral evolution equation hierarchy and the nonisospectral evolution equation hierarchy of Geng spectral problem are presented. And the infinite conservation laws of the isospectral evolution equation hierarchy is also presented. With the gauge transformation between AKNS spectral problem and Geng spectral problem, the associated extensive function derivative of the Geng spectral problem is obtained.