Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials
文献类型：期刊论文
| 作者 | Chang, Xiang-Ke1,2; Hu, Xing-Biao1,2; Szmigielski, Jacek3; Zhedanov, Alexei4 |
| 刊名 | COMMUNICATIONS IN MATHEMATICAL PHYSICS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000496214400002 |
| 出版者 | SPRINGER |
| 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.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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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