超Li系统的Bargmann对称约束和双非线性化

The Bargmann Symmetry Constraint and Binary Nonlinearization of the Super Li System

给出超Li系统的一个显式对称约束和关于其Lax对的双非线性化.在此对称约束下,超Li系统的时间部分和空间部分分别被约化为有限维Liouville可积超Li系统.

An explicit Bargmann symmetry constraint and the binary nonlinearization of Lax pairs for the super Li hierarchy are established. Under the symmetry constraint, the n-th flow of the super Li hierarchy is decomposed into two super finite-dimensional integrable Hamilton systems over the supersymmetric manifold.