A family of S-mKdV hierarchy of equations and its expanding integrable models

CSpace

	A family of S-mKdV hierarchy of equations and its expanding integrable models
	Zhang, YF ; Yan, QY ; Zhang, HQ
	2003
发表期刊	ACTA PHYSICA SINICA
ISSN	1000-3290
卷号	52 期号:1 页码:5-11
摘要	Starting from a subalgebra of loop algebra (A) over tilde (1) we construct a linear isospectral problem. A type of Liouville integrable system and its bi-Hamiltonian structure are presented by the use-of Tu-model again. The reductions to the integrable system give rise to the well-known Schrodinger equation and mKdV equation. Therefore, the system is called S-mKdV hierarchy. In terms of the subalgebra of (A) over tilde (1), constructed, we also construct a new subalgebra (G) over tilde of loop algebra (A) over tilde (2), with five dimensions, from which a linear isospectral form is designed. Again, using Tu-model one obtains a type of expanding integrable models of the S-mKdV hierarchy. Some expanding integrable models of hierarchies, such as BPT hierarchy, TB hierarchy etc. are also obtained by using this method. Hence, the method proposed in this paper has important applications generally. Finally as special cases, the integrable couplings of the well-known Schrodinger equation and mKdV equation are obtained.
关键词	loop algebra Hamiltonian structure expanding integrable model Schrodinger equation mKdV equation
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000180915400002
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/18131
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, Tai An 271019, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Dalian Univ Technol, Sch Mech Engn, Dalian 116024, Peoples R China 4.Dalian Univ, Ctr Adv Design Technol, Dalian 116622, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YF,Yan, QY,Zhang, HQ. A family of S-mKdV hierarchy of equations and its expanding integrable models[J]. ACTA PHYSICA SINICA,2003,52(1):5-11.
APA	Zhang, YF,Yan, QY,&Zhang, HQ.(2003).A family of S-mKdV hierarchy of equations and its expanding integrable models.ACTA PHYSICA SINICA,52(1),5-11.
MLA	Zhang, YF,et al."A family of S-mKdV hierarchy of equations and its expanding integrable models".ACTA PHYSICA SINICA 52.1(2003):5-11.