Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials

doi:10.1007/s00220-019-03616-z

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	Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials
	Chang, Xiang-Ke 1,2; Hu, Xing-Biao 1,2; Szmigielski, Jacek 3; Zhedanov, Alexei 4
	2019-11-13
发表期刊	COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN	0010-3616
页码	33
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).
DOI	10.1007/s00220-019-03616-z
收录类别	SCI
语种	英语
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
WOS类目	Physics, Mathematical
WOS记录号	WOS:000496214400002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50727
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Univ Saskatchewan, Dept Math & Stat, 106 Wiggins Rd, Saskatoon, SK S7N 5E6, Canada 4.Renmin Univ China, Sch Math, Beijing 100872, 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.