Some Evolution Hierarchies Derived from Self-dual Yang-Mills Equations

• 作 者: 张玉峰 韩耀宗
• 机 构: CollegeofScience,DepartmentofMathematics
• 出 处: 理论物理通讯：英文版
• 发表日期: 2011年11期
• 关键词: 演化方程 HAMILTON结构 扩展可积模型 LOOP代数 演变 层次结构 线性代数 泊松结构 Lie algebra Hamiltonian structu
• 基金项目: Supported by a Research Grant from the CityU Strategic Research under Grant No. 7002564

<正> We develop in this paper a new method to construct two explicit Lie algebras E and F.By using aloop algebra E of the Lie algebra E and the reduced self-dual Yang-Mills equations,we obtain an expanding integrablemodel of the Giachetti-Johnson (GJ