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Partial-Skew-Orthogonal Polynomials and Related Integrable Lattices with Pfaffian Tau-Functions 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 卷号: 364, 期号: 3, 页码: 1069-1119
作者:  Chang, Xiang-Ke;  He, Yi;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载:147/0  |  提交时间:2019/03/05
An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type 期刊论文
ADVANCES IN MATHEMATICS, 2018, 卷号: 338, 页码: 1077-1118
作者:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao;  Zhao, Jun-Xiao
收藏  |  浏览/下载:150/0  |  提交时间:2019/01/11
Multipeakons  Pfaffian  Novikov equation  Toda lattice of BKP type  
Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type 期刊论文
NONLINEARITY, 2018, 卷号: 31, 期号: 10, 页码: 4746-4775
作者:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载:109/0  |  提交时间:2018/10/07
Degasperis-Procesi equation  multipeakons  Toda lattice of CKP type  
Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type 期刊论文
NONLINEARITY, 2018, 卷号: 31, 期号: 10, 页码: 4746-4775
作者:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载:110/0  |  提交时间:2018/10/07
Degasperis-Procesi equation  multipeakons  Toda lattice of CKP type  
Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice 期刊论文
ADVANCES IN MATHEMATICS, 2016, 卷号: 299, 页码: 1-35
作者:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Szmigielski, Jacek
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
Multipeakons  Camassa-Holm  Inverse spectral problem  Kac-van Moerbeke lattice  
Combinatorial proofs of addition formulas 期刊论文
ELECTRONIC JOURNAL OF COMBINATORICS, 2016, 卷号: 23, 期号: 1, 页码: 13
作者:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Lei, Hongchuan;  Yeh, Yeong-Nan
收藏  |  浏览/下载:77/0  |  提交时间:2018/07/30
lattice paths  Catalan numbers  Motzkin numbers  Large Schroder numbers  Hankel determinant  
Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions 期刊论文
NONLINEARITY, 2015, 卷号: 28, 期号: 7, 页码: 2279-2306
作者:  Chen, Xiao-Min;  Chang, Xiang-Ke;  Sun, Jian-Qing;  Hu, Xing-Biao;  Yeh, Yeong-Nan
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
generalized determinant solutions  combinatorial interpretations  semi-discrete integrable system  orthogonal polynomials