New matrix Loop algebra and its application

作者：Dong Huan He^*; Xu Yue Cai

来源：Communications in Theoretical Physics, 2008, 50(2): 321-325.

• matrix loop algebra
• Liouville integrable system
• Hamiltonian structure
• integrable couplings

A new matrix Lie algebra and its corresponding Loop algebra are constructed firstly, as its application, the multi-component TC equation hierarchy is obtained, then by use of trace identity the Hamiltonian structure of the above system is presented. Finally, the integrable couplings of the obtained system is worked out by the expanding matrix Loop algebra.

• 出版日期2008-8-15
• 单位山东科技大学