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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
Authors:
Zhong, Ming
;
Gong, Shibo
;
Tian, Shou-Fu
;
Yan, Zhenya
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View/Download:27/0
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Submit date:2023/02/07
GeneralizedGrossPitaevskiiequation
ComplexPT-symmetricpotentials
Physics-informeddeepneuralnetworks
Data-driven rogue waves and parameters discovery discovery
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds
期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 125, 页码: 8
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Zhou, Zijian
;
Yan, Zhenya
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View/Download:85/0
  |  
Submit date:2022/04/02
Five-component Manakov system
Non-zero/zero background
Semi-rational solutions
Rogue waves/rogons
Solitons
Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 478, 期号: 2257, 页码: 23
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Yan, Zhenya
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View/Download:80/0
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Submit date:2022/04/02
rational vector rogue waves
rational vector solitons
weak and strong interactions
n-component nonlinear wave system with higher-order effects
modified Darboux transform
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
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Wang, Li
;
Zhang, Minghe
;
Yan, Zhenya
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View/Download:120/0
  |  
Submit date:2022/04/29
n-component Hirota equation
Non-zero backgrounds
Modified Darboux transform
Multiple roots
Rational RWs and W-shaped solitons
Non-integrable deformation
Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates
期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2021, 卷号: 31, 期号: 5, 页码: 52
Authors:
Zhang, Guoqiang
;
Ling, Liming
;
Yan, Zhenya
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View/Download:117/0
  |  
Submit date:2021/10/26
Multi-component NLS equations
Nonzero boundary conditions
Lax pair
Loop group method
Darboux transform
Higher-order vector Peregrine solitons
Parity-time-reversal symmetry
Governing polynomial
Asymptotic estimates
Deep learning neural networks for the third-order nonlinear Schrodinger equation: bright solitons, breathers, and rogue waves
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2021, 卷号: 73, 期号: 10, 页码: 9
Authors:
Zhou, Zijian
;
Yan, Zhenya
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View/Download:68/0
  |  
Submit date:2022/04/02
third-order nonlinear Schrodinger equation
deep learning
data-driven solitons
data-driven parameter discovery
Deep learning neural networks for the third-order nonlinear Schr?dinger equation: bright solitons, breathers, and rogue waves
期刊论文
Communications in Theoretical Physics, 2021, 卷号: 73, 期号: 10
Authors:
Zhou,Zijian
;
Yan,Zhenya
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View/Download:76/0
  |  
Submit date:2022/04/02
third-order nonlinear Schr?dinger equation
deep learning
data-driven solitons
data-driven parameter discovery
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
Authors:
Wang, Li
;
Yan, Zhenya
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View/Download:101/0
  |  
Submit date: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
Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrodinger equation
期刊论文
CHAOS, 2021, 卷号: 31, 期号: 6, 页码: 9
Authors:
Zhang, Guoqiang
;
Ling, Liming
;
Yan, Zhenya
;
Konotop, Vladimir V.
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View/Download:66/0
  |  
Submit date:2022/04/02
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
Authors:
Wang, Li
;
Yan, Zhenya
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View/Download:135/0
  |  
Submit date:2021/01/14
Defocusing nonlinear Schrodinger equation
Modulational instability
PT-symmetric potential
Rogue waves
W-shaped solitons