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A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 26, 期号: 2, 页码: 579-598
作者:  Thang, Yingnan;  Hu, Xingbiao;  He, Yi;  Sun, Jianqing
收藏  |  浏览/下载:150/0  |  提交时间:2020/01/10
Toda-type equation  N-periodicwave solution  Riemann's theta-function  Gauss-Newton method  
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:149/0  |  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:152/0  |  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  
Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants 期刊论文
NONLINEARITY, 2018, 卷号: 31, 期号: 9, 页码: 4393-4422
作者:  Chen, Xiao-Min;  Hu, Xing-Biao;  Mueller-Hoissen, Folkert
收藏  |  浏览/下载:149/0  |  提交时间:2018/09/08
Volterra lattice hierarchy  Hankel determinant  orthogonal polynomials  Hirota bilinearization  non-isospectral  
A lattice Boltzmann model for multiphase flows with moving contact line and variable density 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 353, 页码: 26-45
作者:  Huang, Jizu;  Wang, Xiao-Ping
收藏  |  浏览/下载:143/0  |  提交时间:2018/07/30
Lattice Boltzmann model  Variable density  Moving contact line  Slip boundary condition  
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:107/0  |  提交时间:2018/07/30
Multipeakons  Camassa-Holm  Inverse spectral problem  Kac-van Moerbeke lattice  
A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms 期刊论文
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2016, 卷号: 27, 页码: 194-212
作者:  He, Yi;  Hu, Xing-Biao;  Tam, Hon-Wah;  Zhang, Ying-Nan
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
multistep epsilon-algorithm  G-transformation  Lotka-Volterra equation  Lattice Boussinesq equation  
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:78/0  |  提交时间:2018/07/30
lattice paths  Catalan numbers  Motzkin numbers  Large Schroder numbers  Hankel determinant