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数学与系统科学研究... [14]
内容类型
期刊论文 [14]
发表日期
2021 [14]
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发表日期:2021
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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
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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
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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
The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions
期刊论文
MODERN PHYSICS LETTERS B, 2021, 卷号: 35, 期号: 32, 页码: 24
作者:
Weng, Weifang
;
Yan, Zhenya
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浏览/下载:5/0
  |  
提交时间:2022/04/02
Modified KdV hierarchy
nonzero boundary conditions
Riemann-Hilbert problem
multi-triple-pole solitons and breathers
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
作者:
Zhang, Guoqiang
;
Ling, Liming
;
Yan, Zhenya
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浏览/下载:60/0
  |  
提交时间: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
作者:
Zhou, Zijian
;
Yan, Zhenya
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浏览/下载:5/0
  |  
提交时间: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
作者:
Zhou,Zijian
;
Yan,Zhenya
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浏览/下载:4/0
  |  
提交时间:2022/04/02
third-order nonlinear Schr?dinger equation
deep learning
data-driven solitons
data-driven parameter discovery
Inverse scattering and N-triple-pole soliton and breather solutions of the focusing nonlinear Schrodinger hierarchy with nonzero boundary conditions
期刊论文
PHYSICS LETTERS A, 2021, 卷号: 407, 页码: 18
作者:
Weng, Weifang
;
Yan, Zhenya
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浏览/下载:25/0
  |  
提交时间:2021/10/26
Focusing NLS hierarchy
Inverse scattering
Riemann-Hilbert problem
Nonzero boundary conditions
N-triple-pole solitons and breathers
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
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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
Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 498, 期号: 2, 页码: 31
作者:
Chen, Shuyan
;
Yan, Zhenya
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浏览/下载:50/0
  |  
提交时间:2021/04/26
Coupled dispersive AB system
Initial-value condition
Riemann-Hilbert problem
Nonlinear steepest descent method
Long-time asymptotics
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
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