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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
作者:
Zhou, Zijian
;
Wang, Li
;
Yan, Zhenya
收藏
  |  
浏览/下载:2/0
  |  
提交时间:2023/02/07
Deep neural networks
B?cklund transform
Miura transform
Soliton equations
Breathers
Solitons
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:13/0
  |  
提交时间:2022/04/02
AVF method
CFD operator
Time high-order
Energy conservation
Convergence
Nonlinear wave equations
Duality of positive and negative integrable hierarchies via relativistically invariant fields
期刊论文
JOURNAL OF HIGH ENERGY PHYSICS, 2021, 期号: 7, 页码: 22
作者:
Lou, S. Y.
;
Hu, X. B.
;
Liu, Q. P.
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  |  
浏览/下载:39/0
  |  
提交时间:2021/10/26
Integrable Hierarchies
Integrable Field Theories
Space-Time Symmetries
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation
期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 卷号: 53, 期号: 39, 页码: 23
作者:
Hu, Xingbiao
;
Pan, Yan
;
Sun, Jianqing
;
Wang, Hui
;
Zhang, Yingnan
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2021/01/14
mKdV-sine-Gordon equation
3-periodic wave solution
integrable discre-tization
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation
期刊论文
Journal of Physics A: Mathematical and Theoretical, 2020, 卷号: 53, 期号: 39
作者:
Hu,Xingbiao
;
Pan,Yan
;
Sun,Jianqing
;
Wang,Hui
;
Zhang,Yingnan
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  |  
浏览/下载:3/0
  |  
提交时间:2021/01/14
mKdV–sine-Gordon equation
3-periodic wave solution
integrable discre-tization
An efficient finite difference/Hermite?Galerkin spectral method for time-fractional coupled sine?Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons
期刊论文
Computer Physics Communications, 2019, 卷号: 237, 页码: 110-128
作者:
Guo, Shimin
;
Mei, Liquan
;
Hou, Yanren
;
Zhang, Zhengqiang
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  |  
浏览/下载:14/0
  |  
提交时间:2019/11/19
Caputo fractional derivatives
Galerkin spectral method
Gordon equation
Hermite polynomials
ITS applications
Spectral accuracy
Temporal discretization
Unbounded domain
基于MQ拟插值的Sine-Gordon方程自适应保辛数值解法
期刊论文
计算机辅助设计与图形学学报, 2018, 卷号: 30, 页码: 1224-1229
作者:
高钦姣
;
张胜刚
;
朱春钢
;
谢风媛
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  |  
浏览/下载:8/0
  |  
提交时间:2019/12/02
Sine-Gordon方程 自适应算法 保辛算法 MQ拟插值 Sine-Gordon equation adaptive method energy conservation scheme MQ quasi-interpolation
Soliton solutions of the sine-Gordon equation on the half line
期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 86, 页码: 64-69
作者:
Zhang, Cheng[1]
;
Cheng, Qiang[2]
;
Zhang, Da-jun[3]
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  |  
浏览/下载:8/0
  |  
提交时间:2019/04/22
Solitons
Boundary-value problems
Sine-Gordon equation
Boundary bound states
Darboux transformation
Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrodinger-KdV dynamical models
期刊论文
RESULTS IN PHYSICS, 2018, 卷号: 10, 页码: 995-1005
作者:
Lu, Dianchen[1]
;
Seadawy, Aly R.[2]
;
Arshad, Muhammad[3]
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2019/12/24
Modified extended direct algebraic method
Travelling wave solutions
Elliptic function solutions
Dodd-Bullough-Mikhailov equation
Two-dimensional Sine-Gordon equation
Coupled Schrodinger-KdV equation
Fully discrete spectral methods for solving time fractional nonlinear Sine-Gordon equation with smooth and non-smooth solutions
期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 333, 页码: 213-224
作者:
Liu, Zeting
;
Lu, Shujuan
;
Liu, Fawang
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  |  
浏览/下载:15/0
  |  
提交时间:2019/12/30
Time fractional nonlinear Sine-Gordon equation
Legendre spectral method
Stability and convergence
Caputo derivative
Smooth and non-smooth solutions
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