多分量的KN族与可积耦合及其它们的哈密顿结构
Firstly,a vector loop algebra (~G)3 is constructed,by use of it multi-component KN hierarchy is obtained.Further,by taking advantage of the extending vector loop algebras (~G)6 and (~G)9 of (~G)3 the double integrable couplings of the multi-component KN hierarchy are worked out respectively.Finally,Hamiltonian structures of obtained system are given by quadratic-form identity.
作 者： 江晓武 李柱 JIANG Xiao-wu LI Zhu 作者单位： College of Mathematics and Information Science,Xinyang Normal University,Xinyang,464000,China 刊 名： 数学季刊（英文版） ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年，卷(期)： 2008 23(3) 分类号： O175 关键词： KN hierarchy integrable couplings quadratic-form identity Hamiltonian structure