摘要
利用主手征场方程的Lax 对及无穷小意义下的“穿衣服”方法,得到了主手征场方程的无穷多串对称,并且证明了它们构成一圈代数以及某一与Virasors 代数类似的无穷维李代数.
In this paper the principal chiral field equation is considered.By
using the correspondent linear system and the infinitesimal version of
the'dressing'method,infinite numbers are obtained of symmetries
which constitute a loop algebra and an infinite dimensional Lie algebra
similar to a Virasoro algebra.
