约化及可积系统分类

THE REDUCTION AND THE CLASSIFICATION OF INTEGERABLE SYSTEMS

本文在约化等价的意义上研究了约化群,G_R~[l]的结构;证明了G_R在规范变换下的不变性,得到了约化的一个等价分类;给出了证明约化方程规范等价的一种方法。

The structure of reduction guoups G_R is investigated on the basis of reduction cquivalances; It is proved that G_R is not changeable under the gauge trans for mations; one equivaland class if ication of reductions andone way to prove the gauge equialancc of reduced equations are given.