2+1维的TB族的可积耦合和它的哈密顿结构

Integrable Couplings of the (2+1)-dimensional TB Hierarchy and Its Hamiltonian Structure

首先构造了一个李代数,进而获得了一个新的loop代数.设计了一个2+1维的等谱问题,应用屠格式求出了著名的2+1维的TB族,然后将这个loop代数扩展,2+1维的TB族的可积耦合被获得,最后通过运用二次型得出了2+1维的TB族的可积耦合的哈密顿结构.

A Lie algebra is constructed, it follows a type of loopalgebra that is mensional generalized TB integrable hierarchy is obtained by making use of the Tu loop algebra presented. A （2 ＋ 1 ）-discheme. Furthermore, the is expanded into a larger one and an extending （2 ＋ 1 ）-dimensional integrable model of the generalized TB hierarchy is worked out. Finally , the Hamihonian structure of the above system is given by the quadratic-form identity.