一个演化方程族的可积耦合

An Integrable Coupling of a Hierarchy of Evolution Equations

基于loop代数 A1 的基的个数与换位运算 ,构造了一个新的loop代数 G ,将其应用于文献 [1]的一个等谱问题 ,利用屠规彰格式求得了一个演化方程族的可积耦合 ,这种方法还可以适用于其它孤立子方程族。

A new loop algebra is constructed based on the basis number and commutative operations of a loop 1 . An integrable coupling of a hierarchy of evolution equations is obtained by appling to an isospectral problem in ref and using Tu Guizhang's model. This method can be used generally.