A type of expanding integrable system for NLS-mKdV hierarchy

CSpace

	A type of expanding integrable system for NLS-mKdV hierarchy
	Zhang, YF ; Yan, QY
	2003-09-01
发表期刊	ACTA PHYSICA SINICA
ISSN	1000-3290
卷号	52 期号:9 页码:2109-2113
摘要	A subalgerbra (A) over bar (1), which is equivalent to the subalgebra of the loop algebra (A) over tilde (2) in "1997 Acta Math. Sin. 40 801", is constructed by making use of algebraic transformation. Then a high-dimensional loop algebra (G) over tilde is presented in terms of (A) over bar (1). An isospectral problem is established following (G) over tilde by the use of direct sum operators and isomorphic relations among subalgebras. It follows that a type of expanding integrable system for the NLS-mKdV hierarchy of evolution equations is obtained. As in reduction cases, the integrable couplings of the famous Schrodinger equation and mKdV equation are presented.
关键词	loop algebra integrable system isospectral problem
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000185237300002
出版者	CHINESE PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18575
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, YF
作者单位	1.Shandong Univ Sci & Technol, Informat Sch, Math Inst, Tai An 271019, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 3.Shandong Finance Coll, Dept Econ & Stat, Tinan 250014, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YF,Yan, QY. A type of expanding integrable system for NLS-mKdV hierarchy[J]. ACTA PHYSICA SINICA,2003,52(9):2109-2113.
APA	Zhang, YF,&Yan, QY.(2003).A type of expanding integrable system for NLS-mKdV hierarchy.ACTA PHYSICA SINICA,52(9),2109-2113.
MLA	Zhang, YF,et al."A type of expanding integrable system for NLS-mKdV hierarchy".ACTA PHYSICA SINICA 52.9(2003):2109-2113.