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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
Favorite  |  View/Download：21/0  |  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
Favorite  |  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
Favorite  |  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
Favorite  |  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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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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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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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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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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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
Favorite  |  View/Download：64/0  |  Submit date：2022/06/21
inverse scattering transform  Riemann-Hilbert problems  Gel'fand-Levitan-Marchenko equations  the derivative NLS equations  solitons