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Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2021, 卷号: 31, 期号: 2, 页码: 23
作者:  Chang, Xiang-Ke;  Li, Shi-Hao;  Tsujimoto, Satoshi;  Yu, Guo-Fu
收藏  |  浏览/下载:138/0  |  提交时间:2021/04/26
Two-parameter Cauchy two-matrix model  Toda-type lattice  Gram determinant technique  
Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 卷号: 477, 期号: 2245, 页码: 21
作者:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
收藏  |  浏览/下载:114/0  |  提交时间:2021/04/26
N-periodic wave solution  coupled KdV-Toda-type equation  Riemann's -function  the direct method  
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  
The Cauchy Two-Matrix Model, C-Toda Lattice and CKP Hierarchy 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2019, 卷号: 29, 期号: 1, 页码: 3-27
作者:  Li, Chunxia;  Li, Shi-Hao
收藏  |  浏览/下载:188/0  |  提交时间:2019/03/11
Matrix models  Cauchy biorthogonal polynomials  C-Toda lattice  CKP hierarchy  tau-Function theory  
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  
Lax Integrability and the Peakon Problem for the Modified Camassa-Holm Equation 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 卷号: 358, 期号: 1, 页码: 295-341
作者:  Chang, Xiangke;  Szmigielski, Jacek
收藏  |  浏览/下载:143/0  |  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 hybrid type of soliton equations with self-consistent sources: KP and Toda cases 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 卷号: 376, 期号: 2, 页码: 393-406
作者:  Wang, Hong-Yan;  Hu, Xing-Biao
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
Hybrid type  Soliton equations with self-consistent sources  Source generation procedure  KP and two-dimensional Toda equations