Two Types of Expanding Lie Algebra and New Expanding Integrable Systems

• 来源期刊: 理论物理通讯(英文版)
• 学科: 数学
• 关键词: 可积系统 代数和 类型 Lie代数 零曲率方程 哈密顿结构 循环代数 李代数
• 年，卷（期）: 2010,（12）
• 页码范围: 957-961
• 页数: 5页
• 分类号: O175.5 TM131
• 语种: 英文

摘要

From a new Lie algebra proposed by Zhang, two expanding Lie algebras and its corresponding loop algebrasare obtained.Two expanding integrable systems are produced with the help of the generalized zero curvature equation.One of them has complex Hamiltion structure with the help of generalized Tu formula (GTM).