Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions

doi:10.1088/0951-7715/28/7/2279

	Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions
	Chen, Xiao-Min 1,2; Chang, Xiang-Ke1,2 ; Sun, Jian-Qing 3; Hu, Xing-Biao1 ; Yeh, Yeong-Nan 4
	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.