Study of solving a Toda dynamic system with loop algebra

	Study of solving a Toda dynamic system with loop algebra
	Zhu Qiao ; Yang Zhan-Ying ; Shi Kang-Jie ; Wen Jun-Qing
刊名	HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION
	2006-09-01
卷号	30 页码:838-843
关键词	Toda many body mechanics system Lax Pair regular Riemann-Hilbert problem
ISSN号	0254-3052
英文摘要	In this paper, we construct a Toda system with Loop algebra, and prove that the Lax equation L = [L, M] can be solved by means of solving a regular Riemarm-Hilbert problem. In our system, M in Lax pair is an antisymmetrical matrix, while L = L+ + M, and L+ is a quasi-upper triangular matrix of loop algebra. In order to check our result, we exactly solve a R-H problem under a given initial condition as an example.
WOS关键词	MECHANICS
WOS研究方向	Physics
语种	英语
出版者	SCIENCE CHINA PRESS
WOS记录号	WOS:000240207200005
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/27033]
专题	中国科学院近代物理研究所
通讯作者	Zhu Qiao
作者单位	1.Shaanxi Univ Sci & Technol, Inst Sci, Xianyang 712081, Peoples R China 2.NW Univ Xian, Dept Phys, Xian 710069, Peoples R China 3.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China 4.Xian Shiyou Univ, Inst Sci, Xian 710065, Peoples R China
推荐引用方式 GB/T 7714	Zhu Qiao,Yang Zhan-Ying,Shi Kang-Jie,et al. Study of solving a Toda dynamic system with loop algebra[J]. HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION,2006,30:838-843.
APA	Zhu Qiao,Yang Zhan-Ying,Shi Kang-Jie,&Wen Jun-Qing.(2006).Study of solving a Toda dynamic system with loop algebra.HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION,30,838-843.
MLA	Zhu Qiao,et al."Study of solving a Toda dynamic system with loop algebra".HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION 30(2006):838-843.