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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
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  |  
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
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:
Zhong, Ming
;
Yan, Zhenya
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  |  
浏览/下载:10/0
  |  
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
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 页码: 33
作者:
Li, Zaizheng
;
Zhang, Qidi
;
Zhang, Zhitao
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  |  
浏览/下载:7/0
  |  
提交时间:2023/02/07
Fractional Schrodinger equations
standing wave
orbital stability
least action solution
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
作者:
Huang, Jianfei
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
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  |  
浏览/下载:13/0
  |  
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
Chaos, Solitons and Fractals, 2020, 卷号: 140
作者:
Zeng, Liangwei
;
Zeng, Jianhua
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  |  
浏览/下载:15/0
  |  
提交时间:2020/11/02
Quantum couplers
Nonlinear fractional
Schrödinger equations Solitons
Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative
期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 页码: 19
作者:
Huang, Jianfei
;
Qiao, Zhi
;
Zhang, Jingna
;
Arshad, Sadia
;
Tang, Yifa
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  |  
浏览/下载:11/0
  |  
提交时间:2021/01/14
Fractional nonlinear wave equations
Fourth-order derivative
Linearized schemes
Stability
Convergence
Clarify the physical process for fractional dynamical systems
期刊论文
Nonlinear Dynamics, 2020, 卷号: 100, 期号: 3, 页码: 2353-2364
作者:
Zhou, Ping
;
Ma, Jun
;
Tang, Jun
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  |  
浏览/下载:4/0
  |  
提交时间:2020/11/14
Algebra
Calculations
Differential equations
Wave propagation
Applied mathematics
Dimensionless variables
Fractional calculus
Fractional differential equations
Fractional dynamical systems
Fractional-order systems
Physical principles
Physical variables
One-dimensional gap solitons in quintic and cubic–quintic fractional nonlinear Schrödinger equations with a periodically modulated linear potential
期刊论文
Nonlinear Dynamics, 2019, 卷号: 98, 期号: 2, 页码: 985-995
作者:
Zeng, Liangwei
;
Zeng, Jianhua
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  |  
浏览/下载:72/0
  |  
提交时间:2019/11/04
Fractional calculus
Cubic–quintic nonlinearity
Nonlinear Schrödinger equation
Gap solitons
One-dimensional gap solitons in quintic and cubic-quintic fractional nonlinear Schrodinger equations with a periodically modulated linear potential
期刊论文
NONLINEAR DYNAMICS, 2019, 卷号: 98, 期号: 2, 页码: 985-995
作者:
Zeng, Liangwei
;
Zeng, Jianhua
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  |  
浏览/下载:57/0
  |  
提交时间:2019/12/11
Fractional calculus
Cubic-quintic nonlinearity
Nonlinear Schrodinger equation
Gap solitons
Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations
期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 3, 页码: 538-557
作者:
Huang, Jianfei
;
Arshad, Sadia
;
Jiao, Yandong
;
Tang, Yifa
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  |  
浏览/下载:54/0
  |  
提交时间:2020/01/10
Fractional diffusion-wave equation
nonlinear source
convolution quadrature
generating function
stability and convergence
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