Multi-component KN Hierarchy and Associated two Integrable Couplings as Well as Their Hamiltonian Structure
Multi-component KN Hierarchy and Associated two Integrable Couplings as Well as Their Hamiltonian Structure作者机构:College of Mathematics and Information Science Xinyang Normal University Xinyang 464000 China
出 版 物:《Chinese Quarterly Journal of Mathematics》 (数学季刊(英文版))
年 卷 期:2008年第23卷第3期
页 面:415-422页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题:KN hierarchy integrable couplings quadratic-form identity Hamiltonian structure
摘 要:Firstly, a vector loop algebra G3 is constructed, by use of it multi-component KN hierarchy is obtained. Further, by taking advantage of the extending vector loop algebras G6 and G9 of G3 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.