中国物理B ›› 2007, Vol. 16 ›› Issue (3): 605-610.doi: 10.1088/1009-1963/16/3/008
尤福财1, 夏铁成2
Xia Tie-Cheng(夏铁成)a)b)† and You Fu-Cai(尤福财)a)
摘要: A general scheme for generating a multi-component integrable equation hierarchy is proposed. A simple 3M-dimensional loop algebra \tilde{X} is produced. By taking advantage of \tilde{X}, a new isospectral problem is established and then by making use of the Tu scheme the multi-component Dirac equation hierarchy is obtained. Finally, an expanding loop algebra \tilde{F}M of the loop algebra \tilde{X} is presented. Based on the \tilde{F}M, the multi-component integrable coupling system of the multi-component Dirac equation hierarchy is investigated. The method in this paper can be applied to other nonlinear evolution equation hierarchies.
中图分类号: (Algebraic methods)