KMS Of Academy of mathematics and systems sciences, CAS
Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions | |
Chen, Xiao-Min1,2; Chang, Xiang-Ke1,2; Sun, Jian-Qing3; Hu, Xing-Biao1; Yeh, Yeong-Nan4 | |
2015-07-01 | |
发表期刊 | NONLINEARITY |
ISSN | 0951-7715 |
卷号 | 28期号:7页码:2279-2306 |
摘要 | In this paper, we present a generalized Toeplitz determinant solution for the generalized Schur flow and propose a mixed form of the two known relativistic Toda chains together with its generalized Toeplitz determinant solution. In addition, we also give a Hankel type determinant solution for a nonisospectral Toda lattice. All these results are obtained by technical determinant operations. As a bonus, we finally obtain some new combinatorial numbers based on the moment relations with respect to these semi-discrete integrable systems and give the corresponding combinatorial interpretations by means of the lattice paths. |
关键词 | generalized determinant solutions combinatorial interpretations semi-discrete integrable system orthogonal polynomials |
DOI | 10.1088/0951-7715/28/7/2279 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[11331008] ; National Natural Science Foundation of China[11371251] ; Knowledge Innovation Program of LSEC ; Shandong Provincial Natural Science Foundation, China[ZR2013AQ024] ; Institute of Computational Mathematics, AMSS, CAS |
WOS研究方向 | Mathematics ; Physics |
WOS类目 | Mathematics, Applied ; Physics, Mathematical |
WOS记录号 | WOS:000357106000011 |
出版者 | IOP PUBLISHING LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/20133 |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Chen, Xiao-Min |
作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, AMSS, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing, Peoples R China 3.Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China 4.Acad Sinica, Inst Math, Taipei 115, Taiwan |
推荐引用方式 GB/T 7714 | Chen, Xiao-Min,Chang, Xiang-Ke,Sun, Jian-Qing,et al. Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions[J]. NONLINEARITY,2015,28(7):2279-2306. |
APA | Chen, Xiao-Min,Chang, Xiang-Ke,Sun, Jian-Qing,Hu, Xing-Biao,&Yeh, Yeong-Nan.(2015).Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions.NONLINEARITY,28(7),2279-2306. |
MLA | Chen, Xiao-Min,et al."Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions".NONLINEARITY 28.7(2015):2279-2306. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论