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Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator
期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:
Zhong, Ming
;
Yan, Zhenya
收藏
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浏览/下载:12/0
  |  
提交时间:2023/02/07
Integrable fractional nonlinear wave equations
Fourier neural operator
Deep learning
Data-driven soliton mapping
Activation function
Channel of fully-connected layer
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:9/0
  |  
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
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:10/0
  |  
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
Duality of positive and negative integrable hierarchies via relativistically invariant fields
期刊论文
JOURNAL OF HIGH ENERGY PHYSICS, 2021, 期号: 7, 页码: 22
作者:
Lou, S. Y.
;
Hu, X. B.
;
Liu, Q. P.
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浏览/下载:42/0
  |  
提交时间:2021/10/26
Integrable Hierarchies
Integrable Field Theories
Space-Time Symmetries
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation
期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 卷号: 53, 期号: 39, 页码: 23
作者:
Hu, Xingbiao
;
Pan, Yan
;
Sun, Jianqing
;
Wang, Hui
;
Zhang, Yingnan
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  |  
浏览/下载:10/0
  |  
提交时间:2021/01/14
mKdV-sine-Gordon equation
3-periodic wave solution
integrable discre-tization
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation
期刊论文
Journal of Physics A: Mathematical and Theoretical, 2020, 卷号: 53, 期号: 39
作者:
Hu,Xingbiao
;
Pan,Yan
;
Sun,Jianqing
;
Wang,Hui
;
Zhang,Yingnan
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2021/01/14
mKdV–sine-Gordon equation
3-periodic wave solution
integrable discre-tization
A 3-Lie algebra and the dKP Hierarchy
期刊论文
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2019, 卷号: 26, 页码: 91-97
作者:
Chen, Min-Ru
;
Chen, Ying
;
Yan, Zhao-Wen
;
Mei, Jian-Qin
;
Wang, Xiao-Li
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浏览/下载:9/0
  |  
提交时间:2019/12/02
3-Lie algebra
dKP hierarchy
Integrable systems
The solitary waves, quasi-periodic waves and integrability of a generalized fifth-order Korteweg-de Vries equation
期刊论文
WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 卷号: 29, 页码: 247-263
作者:
Ma, Pan-Li
;
Tian, Shou-Fu
;
Zou, Li
;
Zhang, Tian-Tian
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  |  
浏览/下载:20/0
  |  
提交时间:2019/12/02
Nonlinear equations
Solitons, Bell polynomials
Cklund transformation
Integrable equations
Korteweg-de Vries
Non-linear phenomena
Periodic wave solutions
Quasi-periodic wave solutions
Soli-tary wave solutions, Korteweg-de Vries equation
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