一个新的Loop代数及其对Levi谱系的应用

A New Loop Algebra and Its Application to the Levi Hierarchy

本文基于loop代数A_1的一个子代数,构造了一个新的loop代数G;通过作一个适宜的Lax对变换,成功地将G应用于Levi等谱问题上,求得了Levi谱系的可积耦合,这种方法可以普遍地应用。

A new loop algebra 5 is constructed from a subalgebra of loop algebra A1 , and then is applied to the Levi's isospectral problem to give an integrable coupling of the Levi hierarchy by making a suitable transformation of Lax pair. This method can be used generally.