迹恒等式及其在（2＋1）维多分量可积系统上的应用

TRACE IDENTITY AND ITS APPLICATION ON THE INTEGRABLE SYSTEM THAT IS （2＋1）-DIMENSION AND MULTI-COMPONENT

根据loop代数和Jacobi恒等式的定义构造了一个多分量的loop代数GM，得到了一个多分量的可积族。且把速恒等式扩展并作用到这一广义loop代数上来。最后利用扩展的迹恒等式导出了（2＋1）雏多分量可积系统的哈密顿结构。

A multi-component loop algebra GM is constructed in terms of the definition of loop algebra and Jaoohi identity, for which a multicomponent integrable hierarchy is given, And trace identity is extended to be useful to general loop algebra. Finally, Hamiltonian structure of the integrable system that is （2＋1）-dimension and multi-component is worked out by applying extended trace identity to it.