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Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations 期刊论文
CHAOS, 2022, 卷号: 32, 期号: 12, 页码: 12
作者:  Weng, Weifang;  Zhang, Minghe;  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：55/0  |  提交时间：2023/02/07
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  |  浏览/下载：67/0  |  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
收藏  |  浏览/下载：65/0  |  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  
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：58/0  |  提交时间：2023/02/07
Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  

Stability and modulation of optical peakons in self-focusing/defocusing Kerr nonlinear media with PT-d-hyperbolic-function potentials

 期刊论文
CHAOS, 2022, 卷号: 32, 期号: 2, 页码: 13
作者:  Chen, Yong;  Song, Jin;  Li, Xin;  Yan, Zhenya
收藏  |  浏览/下载：110/0  |  提交时间：2022/04/02

Non-singular fractional computations for the radiative heat and mass transfer phenomenon subject to mixed convection and slip boundary effects

 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 155, 页码: 10
作者:  Raza, Ali;  Ghaffari, Abuzar;  Khan, Sami Ullah;  Ul Haq, Absar;  Khan, M. Ijaz;  Khan, M. Riaz
收藏  |  浏览/下载：108/0  |  提交时间：2022/06/21
AB-fractional derivative  MHD flow  Time fractional operator  Porous medium  Slip boundary