Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants

doi:10.1088/1361-6544/aacd63

	Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants
	Chen, Xiao-Min 1,2; Hu, Xing-Biao3,4 ; Mueller-Hoissen, Folkert 2,5
	2018-09-01
发表期刊	NONLINEARITY
ISSN	0951-7715
卷号	31 期号:9 页码:4393-4422
摘要	For the first two equations of the Volterra lattice hierarchy and the first two equations of its non-autonomous (non-isospectral) extension, we present Riccati systems for functions c(j)(t), j = 0, 1, ..., such that an expression in terms of Hankel determinants built from them solves these equations on the right half of the lattice. This actually achieves a complete linearization of these equations of the extended Volterra lattice hierarchy.
关键词	Volterra lattice hierarchy Hankel determinant orthogonal polynomials Hirota bilinearization non-isospectral
DOI	10.1088/1361-6544/aacd63
语种	英语
资助项目	Sino-German (CSC-DAAD) Postdoc Scholarship Program 2016[57251553] ; German Academic Exchange Service (DAAD): Research Grants-Short-Term Grants 2018[57378443] ; National Natural Science Foundation of China[11331008] ; National Natural Science Foundation of China[11571358]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000441191000002
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30816
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Xiao-Min
作者单位	1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 2.Max Planck Inst Dynam & Self Org, Gottingen, Germany 3.Chinese Acad Sci, AMSS, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Georg August Univ, Inst Nonlinear Dynam, Friedrich Hund Pl 1, D-37077 Gottingen, Germany
推荐引用方式 GB/T 7714	Chen, Xiao-Min,Hu, Xing-Biao,Mueller-Hoissen, Folkert. Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants[J]. NONLINEARITY,2018,31(9):4393-4422.
APA	Chen, Xiao-Min,Hu, Xing-Biao,&Mueller-Hoissen, Folkert.(2018).Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants.NONLINEARITY,31(9),4393-4422.
MLA	Chen, Xiao-Min,et al."Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants".NONLINEARITY 31.9(2018):4393-4422.