一类可积系统的对称约束及其双非线性化

Symmetry Constraint and Binary Nonlinearization of the Integrable System

本文基于李代数和迹恒等式构造出的一个可积Hamilton系统,给出该系统的一个Bargmann对称约束和关于其Lax对的双非线性化,在此Bargmann对称约束下,该系统的时间部分和空间部分都是有限维的Liouville可积的Hamilton系统。

In this paper, an integrable Hamilton system is constructed on the basis of Lie algebra and the trace identity, and an explicit Bargmann symmetry constraint and the binary nonlinearization of Lax pairs for the hierarchy are established. Under the explicit Bargmann symmetry constraint, the part of time and space of the system is Hamilton systems of finite dimensional Liouville integrable.