The realization of the Kac-Moody algebra in a kind of 2 dimensional nonlinear (evolution) systems has been given by means of the realization of the Kac-Moody algebra in the principal chiral model due to Dolan.

• 本文并利用Dolan关于主手征模型Kac-Moody代数的实现,给出了一类1+1维非线性(演化)系统的 Kac-Moody代数的实现。