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科研机构
数学与系统科学研究... [12]
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期刊论文 [12]
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2022 [2]
2021 [4]
2020 [1]
2019 [2]
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专题:数学与系统科学研究院
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Data-driven discoveries of B?cklund transformations and soliton evolution equations via deep neural network learning schemes
期刊论文
PHYSICS LETTERS A, 2022, 卷号: 450, 页码: 15
作者:
Zhou, Zijian
;
Wang, Li
;
Yan, Zhenya
收藏
  |  
浏览/下载:2/0
  |  
提交时间:2023/02/07
Deep neural networks
B?cklund transform
Miura transform
Soliton equations
Breathers
Solitons
Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials
期刊论文
NONLINEAR DYNAMICS, 2022, 页码: 12
作者:
Li, Xin
;
Wang, Li
;
Zhou, Zijian
;
Chen, Yong
;
Yan, Zhenya
收藏
  |  
浏览/下载:20/0
  |  
提交时间:2022/04/29
Nonlinear Schrodinger equation
PT-symmetric harmonic-hyperbolic-Gaussian potential
Soliton stability
Soliton excitations and collisions
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 428, 页码: 15
作者:
Wang, Li
;
Yan, Zhenya
收藏
  |  
浏览/下载:2/0
  |  
提交时间:2022/04/02
Nonlinear dispersive equation
Initial-boundary value conditions
Physics-informed neural networks
Deep learning
Data-driven peakon and periodic peakon
solutions Data-driven parameter discovery
Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 427, 页码: 13
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Wang, Li
;
Zhang, Minghe
;
Yan, Zhenya
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2022/04/29
n-component Hirota equation
Non-zero backgrounds
Modified Darboux transform
Multiple roots
Rational RWs and W-shaped solitons
Non-integrable deformation
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning
期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
作者:
Wang, Li
;
Yan, Zhenya
收藏
  |  
浏览/下载:23/0
  |  
提交时间:2021/10/26
Defocusing NLS equation with the
time-dependent potential
Initial-boundary value conditions
Physics-informed neural networks
Deep learning
Data-driven rogue waves and parameter discovery
Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials
期刊论文
APPLIED MATHEMATICS LETTERS, 2021, 卷号: 111, 页码: 9
作者:
Wang, Li
;
Yan, Zhenya
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  |  
浏览/下载:3/0
  |  
提交时间:2021/01/14
Defocusing nonlinear Schrodinger equation
Modulational instability
PT-symmetric potential
Rogue waves
W-shaped solitons
Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions
期刊论文
CHAOS, 2020, 卷号: 30, 期号: 1, 页码: 10
作者:
Wang, Li
;
Yan, Zhenya
;
Guo, Boling
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  |  
浏览/下载:34/0
  |  
提交时间:2020/09/23
Attraction centers and parity-time-symmetric delta-functional dipoles in critical and supercritical self-focusing media
期刊论文
PHYSICAL REVIEW E, 2019, 卷号: 99, 期号: 5, 页码: 10
作者:
Wang, Li
;
Malomed, Boris A.
;
Yan, Zhenya
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  |  
浏览/下载:39/0
  |  
提交时间:2020/01/10
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2019, 卷号: 475, 期号: 2222, 页码: 20
作者:
Zhang, Guoqiang
;
Yan, Zhenya
;
Wang, Li
收藏
  |  
浏览/下载:59/0
  |  
提交时间:2020/01/10
general coupled Hirota equations
modulational instability
high-order vector rational or semirational rogue waves
multi-dark-dark solitons
dynamics
Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms (vol 81, pg 833, 2015)
期刊论文
NONLINEAR DYNAMICS, 2015, 卷号: 81, 期号: 1-2, 页码: 843-843
作者:
Yang, Yunqing
;
Wang, Xin
;
Yan, Zhenya
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2018/07/30
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