A multi-component matrix loop algebra and the multi-component Kaup-Newell (KN) hierarchy, as well as its integrable coupling system

作者：Yuan Wei^*; Zhang Yufeng; Chao Yue

来源：Chaos Solitons & Fractals, 2007, 31(2): 473-479.

DOI：10.1016/j.chaos.2005.10.021

Construction of a type of multi-component matrix loop algebra is devoted to establishing an isospectral problem. By making use of Tu scheme, the integrable multi-component KN hierarchy of soliton equation is obtained. Further, the Hamiltonian structure of the Liouville integrable multi-component hierarchy is worked. Finally, an expanding loop algebra of the above algebra is presented, which is used to work out the multi-component integrable coupling system of the multi-component KN hierarchy that contains an arbitrary positive integer M.

• 出版日期2007-1
• 单位山东大学