辽宁石油化工大学学报2013，Vol.33Issue(2)：88-92,5.DOI:10.3696/j.issn.1672-6952.2013.02.023
一个新的Liouville可积方程族及其双Hamilton结构
A New Liouville Integrable Hierarchy and Its Bi-Hamiltonian Structure
于义1
作者信息
- 1. 抚顺师范高等专科学校,辽宁抚顺113001
- 折叠
摘要
Abstract
It is important to search for new integrable equations hierarchies in soliton theory.First,a new equations hierarchy was constructed.Taking use of higher-dimension Lie algebra A2 and the corresponding loop algebra (A)2,it was proved that the equations hierarchy is Lax integrable.Then,the bi-Hamiltonian structures of the Lax integrable hierarchy were constructed by making use of the trace identity.Finally,the infinitely conserved densities for the equations hierarchy was obtained and it was proved that the Lax equations hierarchy is Liouville integrable.关键词
Lie代数/可积系统/Hamilton结构Key words
Lie algebra/ Integrable system/ Hamiltonian structure分类
数理科学引用本文复制引用
于义..一个新的Liouville可积方程族及其双Hamilton结构[J].辽宁石油化工大学学报,2013,33(2):88-92,5.
