Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials

doi:10.1007/s00220-019-03616-z

	Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials
	Chang, Xiang-Ke 1,4; Hu, Xing-Biao 1,4; Szmigielski, Jacek 3; Zhedanov, Alexei 2
刊名	COMMUNICATIONS IN MATHEMATICAL PHYSICS
	2019-11-13
页码	33
ISSN号	0010-3616
DOI	10.1007/s00220-019-03616-z
英文摘要	The isospectral deformations of the Frobenius-Stickelberger-Thiele (FST) polynomials introduced in Spiridonov et al. (Commun Math Phys 272:139-165, 2007) are studied. For a specific choice of the deformation of the spectral measure, one is led to an integrable lattice (FST lattice), which is indeed an isospectral flow connected with a generalized eigenvalue problem. In the second part of the paper the spectral problem used previously in the study of the modified Camassa-Holm (mCH) peakon lattice is interpreted in terms of the FST polynomials together with the associated FST polynomials, resulting in a map from the mCH peakon lattice to a negative flow of the finite FST lattice. Furthermore, it is pointed out that the degenerate case of the finite FST lattice unexpectedly maps to the interlacing peakon ODE system associated with the two-component mCH equation studied in Chang et al. (Adv Math 299:1-35, 2016).
资助项目	National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11731014] ; National Natural Science Foundation of China[11701550] ; National Natural Science Foundation of China[11931017] ; National Natural Science Foundation of China[11871336] ; National Natural Science Foundation of China[11771015] ; Youth Innovation Promotion Association CAS ; Natural Sciences and Engineering Research Council of Canada
WOS研究方向	Physics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000496214400002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50726]
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.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, POB 2719, Beijing 100190, Peoples R China 2.Renmin Univ China, Sch Math, Beijing 100872, Peoples R China 3.Univ Saskatchewan, Dept Math & Stat, 106 Wiggins Rd, Saskatoon, SK S7N 5E6, Canada 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Chang, Xiang-Ke,Hu, Xing-Biao,Szmigielski, Jacek,et al. Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2019:33.
APA	Chang, Xiang-Ke,Hu, Xing-Biao,Szmigielski, Jacek,&Zhedanov, Alexei.(2019).Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials.COMMUNICATIONS IN MATHEMATICAL PHYSICS,33.
MLA	Chang, Xiang-Ke,et al."Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials".COMMUNICATIONS IN MATHEMATICAL PHYSICS (2019):33.