题目：A new loop algebras and its applications to the integrable system
报告人：夏铁成（上海大学理学院，教授）
时间：2011年5月9日（周一）下午两点
地点：创新园A1045
摘要：A subalgebra of higher-dimension loop algebra is constructed, from which a new isospectral problem is designed. By making use of Tu's scheme, an integrable Hamiltonian hierarchy of equations in the sense of Liouville is obtained, which possesses tri-Hamiltonian structure. As reduction cases of the hierarchy presented in this paper, the generalized MKdV equation is engendered. By establishing binary symmetric constraints, three constrained flows of the hierarchy are presented, which are then reduced to Hamiltonian systems. Finally, an integrable coupling system is obtained by constructing a high-dimmension loop algebra.
简介：夏铁成教授多年来一直从事数学机械化与数学物理、孤立子理论与可积系统以及有限维李代数在偏微分方程中应用等领域中的研究。多年来共发表SCI文章50余篇，被引用200余次，并先后主持国家自然科学基金等省部级以上项目10余项。
