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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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Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 442, 页码: 15
Authors:
Song, Jin
;
Yan, Zhenya
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View/Download:21/0
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Submit date:2023/02/07
Amended Gross-Pitaevskii equations
PT -symmetric potential
Quantum droplets
Stable solitons
Soliton interactions and excitations
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
Authors:
Zhong, Ming
;
Yan, Zhenya
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View/Download:21/0
  |  
Submit date:2023/02/07
Integrable fractional nonlinear wave equations
Fourier neural operator
Deep learning
Data-driven soliton mapping
Activation function
Channel of fully-connected layer
Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations
期刊论文
WAVE MOTION, 2022, 卷号: 115, 页码: 15
Authors:
Song, Jin
;
Zhou, Zijian
;
Dong, Huanhe
;
Yan, Zhenya
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View/Download:22/0
  |  
Submit date:2023/02/07
Generalized nonlinear Schr?dinger equation
PT-symmetric potentials
Stable solitons and peakons
Quantum information entropy
Soliton interactions and adiabatic
excitations
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
Authors:
Zhenya Yan
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View/Download:19/0
  |  
Submit date: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 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
Authors:
Zhou, Zijian
;
Wang, Li
;
Yan, Zhenya
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View/Download:25/0
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Submit date:2023/02/07
Deep neural networks
B?cklund transform
Miura transform
Soliton equations
Breathers
Solitons
Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials
期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 132, 页码: 9
Authors:
Zhou, Zijian
;
Song, Jin
;
Weng, Weifang
;
Yan, Zhenya
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View/Download:61/0
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Submit date:2023/02/07
Logarithmic nonlinear Schrodinger
equation
PT-symmetric potentials
Stable solitons
Interactions
Excitations
Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 卷号: 74, 期号: 9, 页码: 17
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Chen, Shuyan
;
Zhou, Zijian
;
Yan, Zhenya
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View/Download:23/0
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Submit date:2023/02/07
Multi-componentHirotaequations
mixedbackgrounds
modifiedDarbouxtransform
semi-rational RWs and W-shaped solitons
asymptotic analysis
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
Authors:
Zhong, Ming
;
Zhang, Jian-Guo
;
Zhou, Zijian
;
Tian, Shou-Fu
;
Yan, Zhenya
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View/Download:25/0
  |  
Submit date: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
Authors:
Song, Jin
;
Zhou, Zijian
;
Weng, Weifang
;
Yan, Zhenya
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View/Download:15/0
  |  
Submit date:2023/02/07
Generalized nonlinear Schrodinger
equation
Stable peakon solution
Interactions
Adiabatic excitations
PT-symmetric 8(x)-csch potential
Integrable nonlocal derivative nonlinear Schrodinger equations
期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 6, 页码: 34
Authors:
Ablowitz, Mark J.
;
Luo, Xu-Dan
;
Musslimani, Ziad H.
;
Zhu, Yi
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View/Download:64/0
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Submit date:2022/06/21
inverse scattering transform
Riemann-Hilbert problems
Gel'fand-Levitan-Marchenko equations
the derivative NLS equations
solitons