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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  
Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 6, 页码: 1063-1078
作者:  Chang, Xiangke;  He, Yi;  Hu, Xingbiao;  Li, Shihao;  Tam, Hon-wah;  Zhang, Yingnan
收藏  |  浏览/下载：141/0  |  提交时间：2018/07/30
integrable system  skew orthogonal polynomial  convergence acceleration algorithm  Laurent property  
A new integrable convergence acceleration algorithm for computing Brezinski-Durbin-Redivo-Zaglia's sequence transformation via pfaffians 期刊论文
NUMERICAL ALGORITHMS, 2018, 卷号: 78, 期号: 1, 页码: 87-106
作者:  Chang, Xiang-Ke;  He, Yi;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
Convergence acceleration algorithm  Sequence transformation  Pfaffian identities  
A semi-discrete modified KdV equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 卷号: 59, 期号: 4, 页码: 12
作者:  Sun, Jianqing;  Hu, Xingbiao;  Zhang, Yingnan
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
A numerical study of the 3-periodic wave solutions to KdV-type equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 355, 页码: 566-581
作者:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
收藏  |  浏览/下载：148/0  |  提交时间：2018/07/30
KdV-type equation  3-periodic wave solution  Riemann's theta-function  Gauss-Newton method  
The partition function of the Bures ensemble as the tau-function of BKP and DKP hierarchies: continuous and discrete 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 卷号: 50, 期号: 28, 页码: 20
作者:  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
Toda-type equation  matrix integrals  Pfaffian  BKP and DKP hierarchies  
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  
Integrable discretization of nonlinear Schrodinger equation and its application with Fourier pseudo-spectral method 期刊论文
NUMERICAL ALGORITHMS, 2015, 卷号: 69, 期号: 4, 页码: 839-862
作者:  Zhang, Y.;  Hu, X. B.;  Tam, H. W.
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
NLS equation  Integrable discretization  Infinite conservation quantities  Fourier pseudo-spectral method  
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：115/0  |  提交时间：2018/07/30
generalized determinant solutions  combinatorial interpretations  semi-discrete integrable system  orthogonal polynomials