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Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices 期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 402, 页码: 45
作者:  Chang, Xiang-Ke
收藏  |  浏览/下载:49/0  |  提交时间:2023/02/07
Hermite-Pade approximation  Biorthogonal polynomials  Novikov equation  Multipeakons  
Duality of positive and negative integrable hierarchies via relativistically invariant fields 期刊论文
JOURNAL OF HIGH ENERGY PHYSICS, 2021, 期号: 7, 页码: 22
作者:  Lou, S. Y.;  Hu, X. B.;  Liu, Q. P.
收藏  |  浏览/下载:124/0  |  提交时间:2021/10/26
Integrable Hierarchies  Integrable Field Theories  Space-Time Symmetries  
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 卷号: 53, 期号: 39, 页码: 23
作者:  Hu, Xingbiao;  Pan, Yan;  Sun, Jianqing;  Wang, Hui;  Zhang, Yingnan
收藏  |  浏览/下载:133/0  |  提交时间:2021/01/14
mKdV-sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation 期刊论文
Journal of Physics A: Mathematical and Theoretical, 2020, 卷号: 53, 期号: 39
作者:  Hu,Xingbiao;  Pan,Yan;  Sun,Jianqing;  Wang,Hui;  Zhang,Yingnan
收藏  |  浏览/下载:112/0  |  提交时间:2021/01/14
mKdV–sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
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  
Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 卷号: 59, 期号: 7, 页码: 14
作者:  Wen, Xiao-Yong;  Yan, Zhenya
收藏  |  浏览/下载:137/0  |  提交时间:2018/09/08
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
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  
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