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New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 164, 页码: 6
作者:  Zhenya Yan
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Multi-Levy-index and mix-index fractional soliton hierarchy  Integrable fractional system  Anomalous dispersion relation  Inverse scattering  Riemann-Hilbert problem  Solitons  
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  
QUASI-EFFECTIVE STABILITY FOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 卷号: 21, 期号: 1, 页码: 67-80
作者:  Cong, Fuzhong;  Hong, Jialin;  Li, Hongtian
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
Effective stability  quasi-effective stability  near-invariant torus  nearly integrable Hamiltonian system  
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  
Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice 期刊论文
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 卷号: 15, 期号: 3, 页码: 233-252
作者:  Hu, Xing-Biao;  Yu, Guo-Fu
收藏  |  浏览/下载：141/0  |  提交时间：2018/07/30
integrable system  integrable discretization  Backlund transformation  Lax pair  
New non-isospectral integrable couplings of the AKNS system 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2008, 卷号: 203, 期号: 1, 页码: 163-170
作者:  Sun, Ye-Peng;  Zhao, Hong-Qing
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
semi-direct sums of lie algebras  the AKNS system  lax pair  non-isospectral integrable couplings  
Grammian solutions and Pfaffianization of the non-isospectral modified Kadomtsev-Petviashvili equation 期刊论文
PHYSICS LETTERS A, 2008, 卷号: 372, 期号: 24, 页码: 4412-4417
作者:  Sun, Ye-Peng;  Tam, Hon-Wah
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
non-isospectral mKP equation  Grammian determinant solution  Pfaffianization procedure  integrable coupled system  Pfaffian identity  Gramm-type Pfaffian solution  
A family of new discrete equations assoiated with Lotka-Volterra lattice and its integrable couplings 期刊论文
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2007, 卷号: 21, 期号: 16, 页码: 2749-2759
作者:  Sun, Ye-Peng;  Chen, Deng-Yuan;  Yang, Yan-Zhen
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
discrete equation  integrable coupling  algebraic system  Lotka-Volterra lattice  Hamiltonian structure  conservation law  
Discrete AKNS-D hierarchy 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2007, 卷号: 47, 期号: 3, 页码: 385-389
作者:  Wu Xiao-Ning
收藏  |  浏览/下载：67/0  |  提交时间：2018/07/30
discrete integrable system  AKNS-D hierarchy  
An extension of Lie algebra and a related integrable system 期刊论文
ACTA PHYSICA SINICA, 2004, 卷号: 53, 期号: 5, 页码: 1276-1279
作者:  Zhang, YF;  Guo, FK
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
Lie algebra  integrable system  Hamiltonian structure