KMS Of Academy of mathematics and systems sciences, CAS
| Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices | |
| Chang, Xiang-Ke1,2; Li, Shi-Hao5; Tsujimoto, Satoshi3; Yu, Guo-Fu4 | |
| 2021-03-05 | |
| Source Publication | JOURNAL OF NONLINEAR SCIENCE
 |
| ISSN | 0938-8974 |
| Volume | 31Issue:2Pages:23 |
| Abstract | In this article, we consider the generalised two-parameter Cauchy two-matrix model and the corresponding integrable lattice equation. It is shown that with parameters chosen as 1/k(i), k(i) is an element of Z(>0) (i = 1, 2), the average characteristic polynomials admit (k(1)+ k(2)+ 2)-term recurrence relations, which can be interpreted as spectral problems for integrable lattices. The tau function is then given by the partition function of the generalised Cauchy two-matrix model as well as Gram determinant. The simplest solvable example is given. |
| Keyword | Two-parameter Cauchy two-matrix model Toda-type lattice Gram determinant technique |
| DOI | 10.1007/s00332-021-09690-9 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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[11871336] ; Youth Innovation Promotion Association CAS ; ARC Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS) ; JSPS KAK-ENHI[19H01792] ; JSPS KAK-ENHI[17K18725] |
| WOS Research Area | Mathematics ; Mechanics ; Physics |
| WOS Subject | Mathematics, Applied ; Mechanics ; Physics, Mathematical |
| WOS ID | WOS:000626523300001 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58331 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yu, Guo-Fu |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Yoshida Honmachi, Kyoto 6068501, Japan 4.Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai, Peoples R China 5.Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China |
| Recommended Citation GB/T 7714 | Chang, Xiang-Ke,Li, Shi-Hao,Tsujimoto, Satoshi,et al. Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices[J]. JOURNAL OF NONLINEAR SCIENCE,2021,31(2):23. |
| APA | Chang, Xiang-Ke,Li, Shi-Hao,Tsujimoto, Satoshi,&Yu, Guo-Fu.(2021).Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices.JOURNAL OF NONLINEAR SCIENCE,31(2),23. |
| MLA | Chang, Xiang-Ke,et al."Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices".JOURNAL OF NONLINEAR SCIENCE 31.2(2021):23. |
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