A generalization of Laurent biorthogonal polynomials and related integrable lattices
文献类型：期刊论文
| 作者 | Wang, Bao1; Chang, Xiang-Ke2,3; Yue, Xiao-Lu2,3 |
| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000793501400001 |
| 出版者 | IOP Publishing Ltd |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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