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Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 卷号: 476, 期号: 2242, 页码: 22
作者:  Wen, Xiao-Yong;  Yan, Zhenya;  Zhang, Guoqiang
收藏  |  浏览/下载:168/0  |  提交时间:2021/01/14
nonlinear self-dual network equations  modulation instability  generalized perturbation Darboux transformation  rational solitons  stability  
The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 卷号: 474, 期号: 2215, 页码: 20
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:213/0  |  提交时间:2018/09/08
n-component nonlinear Schrodinger equations  Darboux transformation dark-bright mixed solitons  dark-bright mixed high-order solitons  wing-shaped structure of the breathers  dynamics  
Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants 期刊论文
APPLIED MATHEMATICS LETTERS, 2017, 卷号: 69, 页码: 113-120
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Chen, Yong
收藏  |  浏览/下载:136/0  |  提交时间:2018/07/30
Integrable nonlocal nonlinear schrodinger equation  Lax pair  Loop group method  Generalized darboux transformation  Higher-order rational solitons  
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:128/0  |  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  
Oscillation Criteria for Third-order NonlinearNeutral Dynamic Equations on Time Scales 期刊论文
工程数学学报, 2016, 卷号: 33.0, 期号: 2, 页码: 206-220
作者:  Zhang Zhiyu;  Han Qiang;  Yu Yuanhong
收藏  |  浏览/下载:113/0  |  提交时间:2021/01/14
third-order  nonlinear  dynamic  equation  neutral  oscillation  criterion  asymptoticbehavior  generalized  Riccati  transformation  time  scale  
One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2013, 卷号: 8, 期号: 5, 页码: 1085-1097
作者:  Zhang Yingnan;  He Yi;  Tam HonWah
收藏  |  浏览/下载:136/0  |  提交时间:2021/01/14
SOLITON-SOLUTIONS  EQUATIONS  LATTICE  Integrability  soliton solution  Backlund transformation (BT)  nonlinear superposition formula  
Exact analytical solutions for the generalized non-integrable nonlinear Schrodinger equation with varying coefficients 期刊论文
PHYSICS LETTERS A, 2010, 卷号: 374, 期号: 48, 页码: 4838-4843
作者:  Yan, Zhenya
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
Generalized non integrable nonlinear  Schrodinger equation with varying  coefficients  Similarity transformation  The tri function method  Analytical solutions  
Symplectic structure of poisson system 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2005, 卷号: 26, 期号: 11, 页码: 1484-1490
作者:  Sun, JQ;  Ma, ZQ;  Tian, YM;  Qin, MZ
收藏  |  浏览/下载:130/0  |  提交时间:2018/07/30
Poisson system  nonlinear transformation  symplectic method  rigid body problem  
A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients 期刊论文
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2005, 卷号: 60, 期号: 11-12, 页码: 768-774
作者:  Li, B;  Chen, Y
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
truncated Painleve expansion  backlund transformation  symbolic computation  nonlinear Schrodinger equation  solitons