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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
作者:
Zhong, Ming
;
Gong, Shibo
;
Tian, Shou-Fu
;
Yan, Zhenya
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2023/02/07
GeneralizedGrossPitaevskiiequation
ComplexPT-symmetricpotentials
Physics-informeddeepneuralnetworks
Data-driven rogue waves and parameters discovery discovery
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
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  |  
浏览/下载:8/0
  |  
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
Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized PT-Scarf-II Potentials
期刊论文
NEURAL PROCESSING LETTERS, 2022, 页码: 19
作者:
Zhong, Ming
;
Zhang, Jian-Guo
;
Zhou, Zijian
;
Tian, Shou-Fu
;
Yan, Zhenya
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2023/02/07
Focusing and defocusing nonlinear Schrodinger equations
Generalized PT-Scarf-II potential
Physics-informed deep neural networks
Data-driven solitons and parameters discovery
Integrable nonlocal derivative nonlinear Schrodinger equations
期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 6, 页码: 34
作者:
Ablowitz, Mark J.
;
Luo, Xu-Dan
;
Musslimani, Ziad H.
;
Zhu, Yi
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  |  
浏览/下载:15/0
  |  
提交时间:2022/06/21
inverse scattering transform
Riemann-Hilbert problems
Gel'fand-Levitan-Marchenko equations
the derivative NLS equations
solitons
Integrable nonlocal derivative nonlinear Schr?dinger equations
期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 6
作者:
Ablowitz,Mark J
;
Luo,Xu-Dan
;
Musslimani,Ziad H
;
Zhu,Yi
收藏
  |  
浏览/下载:12/0
  |  
提交时间:2022/06/21
inverse scattering transform
Riemann–Hilbert problems
Gel’fand–Levitan–Marchenko equations
the derivative NLS equations
solitons
Acoustic Inversion for Uncertainty Reduction in Reynolds-Averaged Navier-Stokes-Based Jet Noise Prediction
期刊论文
AIAA JOURNAL, 2021, 页码: 16
作者:
Zhang, Xin-Lei
;
Xiao, Heng
;
Wu, Ting
;
He, Guowei
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  |  
浏览/下载:27/0
  |  
提交时间:2022/03/05
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach
期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
作者:
Chen, Shuyan
;
Yan, Zhenya
;
Guo, Boling
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  |  
浏览/下载:81/0
  |  
提交时间:2021/06/01
Focusing Hirota equation
Non-zero boundary conditions
Inverse scattering
Oscillatory Riemann-Hilbert problem
Nonlinear steepest-descent method
Long-time asymptotics
An initial-boundary value problem for the general three-component nonlinear Schrodinger equations on a finite interval
期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:
Yan, Zhenya
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  |  
浏览/下载:55/0
  |  
提交时间:2021/10/26
general three-component nonlinear Schrodinger equations
initial-boundary value problem
inverse scattering
Riemann-Hilbert problem
global relation
Dirichlet and Neumann problems
Gel'fand-Levitan-Marchenko representation
Structural Rejuvenation of Metallic Glasses and Its Effect on Mechanical Behaviors
期刊论文
ACTA METALLURGICA SINICA, 2021, 卷号: 57, 期号: 4, 页码: 425-438
作者:
Jiang MQ(蒋敏强)
;
Gao Y(高洋)
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  |  
浏览/下载:88/0
  |  
提交时间:2021/05/17
metallic glass
structural relaxation
rejuvenation
shear band
mechanical behavior
Solving forward and inverse problems of the logarithmic nonlinear Schrodinger equation with PT-symmetric harmonic potential via deep learning
期刊论文
PHYSICS LETTERS A, 2021, 卷号: 387, 页码: 12
作者:
Zhou, Zijian
;
Yan, Zhenya
收藏
  |  
浏览/下载:36/0
  |  
提交时间:2021/04/26
Logarithmic nonlinear Schrodinger equation
PT-symmetric potentials
Physics-informed neural networks
Deep learning
Data-driven discovery of LNLS equation
Data-driven solitons
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