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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:152/0  |  提交时间:2021/04/26
Two-parameter Cauchy two-matrix model  Toda-type lattice  Gram determinant technique  
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:147/0  |  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:123/0  |  提交时间:2021/01/14
mKdV–sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
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:201/0  |  提交时间:2019/03/11
Matrix models  Cauchy biorthogonal polynomials  C-Toda lattice  CKP hierarchy  tau-Function theory  
Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrodinger equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 卷号: 473, 期号: 2203, 页码: 19
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Wen, Xiao-Yong
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
coupled nonlinear Schrodinger equations with four-wave mixing  modulational instability  Darboux transformation  beak-shaped rogue wave  multi-dark-dark solitons  dynamics  
Nonlocal general vector nonlinear Schrodinger equations: Integrability, PT symmetribility, and solutions 期刊论文
APPLIED MATHEMATICS LETTERS, 2016, 卷号: 62, 页码: 101-109
作者:  Yan, Zhenya
收藏  |  浏览/下载:119/0  |  提交时间:2018/07/30
Nonlocal general VNLS equations  Lax pair  Conservation laws  PT symmetribility  Symmetry reductions  Exact solutions  Solitons  
From r-spin intersection numbers to Hodge integrals 期刊论文
JOURNAL OF HIGH ENERGY PHYSICS, 2016, 期号: 1, 页码: 51
作者:  Ding, Xiang-Mao;  Li, Yuping;  Meng, Lingxian
收藏  |  浏览/下载:154/0  |  提交时间:2018/07/30
Matrix Models  Integrable Equations in Physics  Integrable Hierarchies  
Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation 期刊论文
CHAOS, 2015, 卷号: 25, 期号: 10, 页码: 9
作者:  Yang, Yunqing;  Yan, Zhenya;  Malomed, Boris A.
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
Integrable PT-symmetric local and nonlocal vector nonlinear Schrodinger equations: A unified two-parameter model 期刊论文
APPLIED MATHEMATICS LETTERS, 2015, 卷号: 47, 页码: 61-68
作者:  Yan, Zhenya
收藏  |  浏览/下载:115/0  |  提交时间:2018/07/30
Two-parameter family of nonlocal vector nonlinear Schrodinger equations  Lax pair  Conservation laws  PT symmetry  Solitons  
Integrable Deformations of Heisenberg Supermagnetic Model 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 卷号: 53, 期号: 1, 页码: 21-24
作者:  Yan Zhao-Wen;  Li Min-Li;  Wu Ke;  Zhao Wei-Zhong
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
Heisenberg supermagnet model  supersymmetry  integrable equation