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

中文关键词:  loop代数  可积耦合  Levi谱问题

英文关键词:loop algebra  integrable coupling  Levi spectral problem.

中文摘要:

      本文基于loop代数A₁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。

英文摘要:

      A new loop algebra G 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.