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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
作者:
Zhong, Ming
;
Gong, Shibo
;
Tian, Shou-Fu
;
Yan, Zhenya
收藏
  |  
浏览/下载:67/0
  |  
提交时间:2023/02/07
GeneralizedGrossPitaevskiiequation
ComplexPT-symmetricpotentials
Physics-informeddeepneuralnetworks
Data-driven rogue waves and parameters discovery discovery
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:53/0
  |  
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
PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 435, 页码: 14
作者:
Song, Jin
;
Zhou, Zijian
;
Weng, Weifang
;
Yan, Zhenya
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  |  
浏览/下载:62/0
  |  
提交时间:2023/02/07
Generalized nonlinear Schrodinger
equation
Stable peakon solution
Interactions
Adiabatic excitations
PT-symmetric 8(x)-csch potential
Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices
期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 402, 页码: 45
作者:
Chang, Xiang-Ke
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  |  
浏览/下载:49/0
  |  
提交时间:2023/02/07
Hermite-Pade approximation
Biorthogonal polynomials
Novikov equation
Multipeakons
A generalization of Laurent biorthogonal polynomials and related integrable lattices
期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 卷号: 55, 期号: 21, 页码: 15
作者:
Wang, Bao
;
Chang, Xiang-Ke
;
Yue, Xiao-Lu
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  |  
浏览/下载:54/0
  |  
提交时间:2023/02/07
Laurent biorthogonal polynomials
relativistic Toda lattice
compatibility
Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 432, 页码: 15
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Zhang, Minghe
;
Zhou, Zijian
;
Yan, Zhenya
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  |  
浏览/下载:126/0
  |  
提交时间:2022/04/29
N-component NLS equation
Mixed non-zero and zero backgrounds
Semi-rational rogon-soliton solutions
Soliton-like solutions
Asymptotic analysis
Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 430, 页码: 14
作者:
Chen, Yong
;
Yan, Zhenya
;
Malomed, Boris A.
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  |  
浏览/下载:126/0
  |  
提交时间:2022/04/29
Higher-dimensional nonlinear Schrodinger equation
PT -symmetric potentials
Stable solitons
Adiabatic management
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
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Yan, Zhenya
收藏
  |  
浏览/下载:106/0
  |  
提交时间: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
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities
期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
作者:
Qin, Guoquan
;
Yan, Zhenya
;
Guo, Boling
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  |  
浏览/下载:121/0
  |  
提交时间:2022/04/02
mCH-Novikov-CH equation
Wave breaking
Local well-posedness
Holder continuity
Non-periodic and periodic peakon and multi-peakon solutions
Formation, stability, and adiabatic excitation of peakons and double-hump solitons in parity-time-symmetric Dirac-delta(x)-Scarf-II optical potentials
期刊论文
PHYSICAL REVIEW E, 2022, 卷号: 105, 期号: 1, 页码: 16
作者:
Zhong, Ming
;
Chen, Yong
;
Yan, Zhenya
;
Tian, Shou-Fu
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  |  
浏览/下载:120/0
  |  
提交时间:2022/04/02