A generalization of Laurent biorthogonal polynomials and related integrable lattices

doi:10.1088/1751-8121/ac6405

	A generalization of Laurent biorthogonal polynomials and related integrable lattices
	Wang, Bao 1; Chang, Xiang-Ke 2,3; Yue, Xiao-Lu 2,3
刊名	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
	2022-05-27
卷号	55 期号:21 页码:15
关键词	Laurent biorthogonal polynomials relativistic Toda lattice compatibility
ISSN号	1751-8113
DOI	10.1088/1751-8121/ac6405
英文摘要	This paper is concerned about certain generalization of Laurent biorthogonal polynomials together with the corresponding related integrable lattices. On one hand, a generalization for Laurent biorthogonal polynomials is proposed and its recurrence relation and Christoffel transformation are derived. On the other hand, it turns out the compatibility condition between the recurrence relation and the Christoffel transformation for the generalized Laurent biorthogonal polynomials yields an extension of the fully discrete relativistic Toda lattice. And also, it is shown that isospectral deformations of the generalized Laurent biorthogonal polynomials lead to two different generalizations of the continuous-time relativistic Toda lattice, one of which can reduce to the Narita-Itoh-Bogoyavlensky lattice.
资助项目	National Natural Science Foundation of China[12171461] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11731014] ; Youth Innovation Promotion Association CAS
WOS研究方向	Physics
语种	英语
出版者	IOP Publishing Ltd
WOS记录号	WOS:000793501400001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61285]
专题	中国科学院数学与系统科学研究院
通讯作者	Chang, Xiang-Ke
作者单位	1.Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, POB 2719, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wang, Bao,Chang, Xiang-Ke,Yue, Xiao-Lu. A generalization of Laurent biorthogonal polynomials and related integrable lattices[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2022,55(21):15.
APA	Wang, Bao,Chang, Xiang-Ke,&Yue, Xiao-Lu.(2022).A generalization of Laurent biorthogonal polynomials and related integrable lattices.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,55(21),15.
MLA	Wang, Bao,et al."A generalization of Laurent biorthogonal polynomials and related integrable lattices".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 55.21(2022):15.