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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
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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
Bidirectional Whitham type equations for internal waves with variable topography
期刊论文
OCEAN ENGINEERING, 2022, 卷号: 257, 页码: 12
作者:
Yuan, Chunxin
;
Wang, Zhan
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浏览/下载:40/0
  |  
提交时间:2022/08/02
Whitham type equations
Bidirectional propagation
Full dispersion
Internal waves
Interfacial electrohydrodynamic solitary waves under horizontal electric fields
期刊论文
JOURNAL OF FLUID MECHANICS, 2022, 卷号: 940, 页码: 33
作者:
Guan X(关昕)
;
Wang Z(王展)
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浏览/下载:21/0
  |  
提交时间:2022/05/17
capillary waves
solitary waves
Capillary-gravity solitary waves on water of finite depth interacting with a linear shear current
期刊论文
STUDIES IN APPLIED MATHEMATICS, 2021, 页码: 22
作者:
Gao, T.
;
Milewski, P. A.
;
Wang Z(王展)
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浏览/下载:16/0
  |  
提交时间:2021/08/16
gravity-capillary wave
solitary wave
water wave
Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 卷号: 477, 期号: 2245, 页码: 21
作者:
Zhang, Yingnan
;
Hu, Xingbiao
;
Sun, Jianqing
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浏览/下载:15/0
  |  
提交时间:2021/04/26
N-periodic wave solution
coupled KdV-Toda-type equation
Riemann's -function
the direct method
Particle trajectories under interactions between solitary waves and a linear shear current
期刊论文
Theoretical and Applied Mechanics Letters, 2, 2020, 卷号: 10, 页码: 125-131
作者:
Guan X(关昕)
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浏览/下载:11/0
  |  
提交时间:2021/06/11
Direct numerical simulation
Linear shear current
Particle trajectories
Solitary waves
A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 26, 期号: 2, 页码: 579-598
作者:
Sun, Jianqing
;
He, Yi
;
Hu, Xingbiao
;
Thang, Yingnan
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浏览/下载:69/0
  |  
提交时间:2019/06/24
Toda-type equation
N-periodicwave solution
Riemann's theta-function
Gauss-Newton method
A numerical study of the 3-periodic wave solutions to toda-type equations
期刊论文
Communications in computational physics, 2019, 卷号: 26, 期号: 2, 页码: 579-598
作者:
Thang, Yingnan
;
Hu, Xingbiao
;
He, Yi
;
Sun, Jianqing
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  |  
浏览/下载:439/0
  |  
提交时间:2019/05/08
Toda-type equation
N-periodicwave solution
Riemann's theta-function
Gauss-newton method
General high-order breathers and rogue waves in the (3+1)-dimensional KP-Boussinesq equation
期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 64, 页码: 1-13
作者:
Sun, Baonan
;
Wazwaz, Abdul-Majid
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  |  
浏览/下载:9/0
  |  
提交时间:2019/08/19
(3+1)-dimensional KP-Boussinesq equation
Rogue wave solution
Bilinear method
Breather solution
Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property
期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 6, 页码: 1063-1078
作者:
Chang, Xiangke
;
He, Yi
;
Hu, Xingbiao
;
Li, Shihao
;
Tam, Hon-wah
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  |  
浏览/下载:22/0
  |  
提交时间:2018/07/30
integrable system
skew orthogonal polynomial
convergence acceleration algorithm
Laurent property
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