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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:13/0
  |  
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
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
作者:
Hou, Baohui
;
Liang, Dong
收藏
  |  
浏览/下载:15/0
  |  
提交时间:2022/04/02
AVF method
CFD operator
Time high-order
Energy conservation
Convergence
Nonlinear wave equations
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
收藏
  |  
浏览/下载:15/0
  |  
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
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
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2021/01/14
Fractional nonlinear wave equations
Fourth-order derivative
Linearized schemes
Stability
Convergence
Superluminal Propagation Induced by Forward Stimulated Brillouin Scattering in Small-core Photonic Crystal Fibers
期刊论文
Guangzi Xuebao/Acta Photonica Sinica, 2020, 卷号: 49, 期号: 7
作者:
Wu, Dong-Ming
;
Hou, Shang-Lin
;
Lei, Jing-Li
;
Wang, Dao-Bin
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2020/11/14
Acoustic fields
Acoustic wave scattering
Crystal whiskers
Electromagnetic wave propagation
Fibers
Forward scattering
Fourier transforms
Frequency domain analysis
Lattice vibrations
Light transmission
Optical pumping
Photonic crystal fibers
Refractive index
Single mode fibers
Wave equations
Acoustic field distribution
Coupled wave equations
Fourier transformations
Group refractive index
Nonlinear interactions
Pulse broadening factors
Superluminal propagation
Transmission distances
The solitary waves, quasi-periodic waves and integrability of a generalized fifth-order Korteweg-de Vries equation
期刊论文
WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 卷号: 29, 页码: 247-263
作者:
Ma, Pan-Li
;
Tian, Shou-Fu
;
Zou, Li
;
Zhang, Tian-Tian
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  |  
浏览/下载:20/0
  |  
提交时间:2019/12/02
Nonlinear equations
Solitons, Bell polynomials
Cklund transformation
Integrable equations
Korteweg-de Vries
Non-linear phenomena
Periodic wave solutions
Quasi-periodic wave solutions
Soli-tary wave solutions, Korteweg-de Vries equation
Dispersive wave solutions of the nonlinear fractional Zakhorov-Kuznetsov-Benjamin-Bona-Mahony equation and fractional symmetric regularized long wave equation
期刊论文
RESULTS IN PHYSICS, 2019, 卷号: 12, 页码: 1971-1979
作者:
Yaro, David[1]
;
Seadawy, Aly R.[2]
;
Lu, Dianchen[3]
;
Apeanti, Wilson Osafo[4]
;
Akuamoah, Saviour Worlanyo[5]
收藏
  |  
浏览/下载:4/0
  |  
提交时间:2019/12/24
Improved F-expansion method
Modified Riemann-Liouville derivative
Nonlinear space-time fractional equations
Traveling wave
Backlund transformation, infinitely-many conservation laws, solitary and periodic waves of an extended (3+1)-dimensional Jimbo-Miwa equation with time-dependent coefficients
期刊论文
WAVES IN RANDOM AND COMPLEX MEDIA, 2018, 卷号: 28, 页码: 468-487
作者:
Deng, Gao-Fu
;
Gao, Yi-Tian
;
Gao, Xin-Yi
收藏
  |  
浏览/下载:5/0
  |  
提交时间:2019/12/30
Nonlinear equations
Physical properties
Cklund transformation
Conservation law
Periodic wave solutions
Riemann theta function
Soliton solutions
Soliton velocities
Symbolic computation
Time-dependent coefficients
Solitons
Diffusive wave in the low Mach limit for compressible Navier Stokes equations
期刊论文
ADVANCES IN MATHEMATICS, 2017, 卷号: 319, 页码: 348-395
作者:
Huang, Feimin
;
Wang, Tian-Yi
;
Wang, Yong
收藏
  |  
浏览/下载:27/0
  |  
提交时间:2018/07/30
Compressible Navier-Stokes equations
Low Mach limit
Nonlinear diffusion wave
Well-prepared data
Ill-prepared data
Time Advancement and Pulse Distort of Stimulated Brillouin Scattering Fast Light High Nonlinear Optical Fibers
期刊论文
Faguang Xuebao/Chinese Journal of Luminescence, 2017, 卷号: 38, 期号: 8, 页码: 1083-1089
作者:
Che, Yong-Kang
;
Hou, Shang-Lin
;
Lei, Jing-Li
;
Wang, Dao-Bin
;
Li, Xiao-Xiao
收藏
  |  
浏览/下载:14/0
  |  
提交时间:2020/11/14
Fibers
Light transmission
Nonlinear equations
Pulse compression
Single mode fibers
Stimulated Brillouin scattering
Wave equations
Coupled wave equations
High nonlinear fibers
Input signal power
Nonlinear effect
Pulse deformations
Small signal model
Time advancement
Transmission distances
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