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数学与系统科学研究... [15]
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期刊论文 [29]
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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
OAI收割
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:8/0
  |  
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
OAI收割
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:
Zhong, Ming
;
Yan, Zhenya
  |  
收藏
  |  
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
STABLE STANDING WAVES OF NONLINEAR FRACTIONAL SCHRODINGER EQUATIONS
期刊论文
OAI收割
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 页码: 33
作者:
Li, Zaizheng
;
Zhang, Qidi
;
Zhang, Zhitao
  |  
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2023/02/07
Fractional Schrodinger equations
standing wave
orbital stability
least action solution
Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises
期刊论文
OAI收割
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 512, 期号: 1, 页码: 21
作者:
Hong, Jialin
;
Liu, Zhihui
;
Sheng, Derui
  |  
收藏
  |  
浏览/下载:5/0
  |  
提交时间:2023/02/07
Stochastic partial differential equation
Fractional Brownian sheet
Hurst index H < 1/2
Holder exponent
Hitting probability
A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients
期刊论文
OAI收割
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 1, 页码: 63-92
作者:
Fan, Huijun
;
Zhao, Yanmin
;
Wang, Fenling
;
Shi, Yanhua
;
Tang, Yifa
  |  
收藏
  |  
浏览/下载:19/0
  |  
提交时间:2021/01/14
Nonconforming mixed FEM
multi-term time-fractional mixed diffusion and diffusion-wave equations
L1 time-stepping method
Crank-Nicolson scheme
convergence and superconvergence
A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity
期刊论文
OAI收割
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
作者:
Huang, Jianfei
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
  |  
收藏
  |  
浏览/下载:36/0
  |  
提交时间:2021/04/26
distribution-order derivative
fractional wave equations
initial singularity
multi-term fractional derivatives
superlinear convergence
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations
期刊论文
OAI收割
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
作者:
Huang, Jianfei
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
  |  
收藏
  |  
浏览/下载:23/0
  |  
提交时间:2021/01/14
Multi-term time-space derivatives
Fractional nonlinear diffusion-wave equations
Finite difference schemes
Stability
Convergence
Fast ADI scheme
Fractional quantum couplers
期刊论文
OAI收割
Chaos, Solitons and Fractals, 2020, 卷号: 140
作者:
Zeng, Liangwei
;
Zeng, Jianhua
  |  
收藏
  |  
浏览/下载:21/0
  |  
提交时间:2020/11/02
Quantum couplers
Nonlinear fractional
Schrödinger equations Solitons
Fractional Time Derivative Seismic Wave Equation Modeling for Natural Gas Hydrate
期刊论文
OAI收割
ENERGIES, 2020, 卷号: 13, 期号: 22, 页码: 24
作者:
Wang, Yanfei
;
Ning, Yaxin
;
Wang, Yibo
  |  
收藏
  |  
浏览/下载:27/0
  |  
提交时间:2021/01/08
natural gas hydrate
seismic modeling
fractional derivatives
numerical simulation
Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative
期刊论文
OAI收割
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 页码: 19
作者:
Huang, Jianfei
;
Qiao, Zhi
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
  |  
收藏
  |  
浏览/下载:15/0
  |  
提交时间:2021/01/14
Fractional nonlinear wave equations
Fourth-order derivative
Linearized schemes
Stability
Convergence