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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：98/0  |  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  
Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 卷号: 477, 期号: 2245, 页码: 21
作者:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
收藏  |  浏览/下载：150/0  |  提交时间：2021/04/26
N-periodic wave solution  coupled KdV-Toda-type equation  Riemann's -function  the direct method  
EXISTENCE OF STEADY MULTIPLE VORTEX PATCHES TO THE VORTEX-WAVE SYSTEM 期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2020, 卷号: 308, 期号: 2, 页码: 257-279
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载：179/0  |  提交时间：2021/04/26
vortex-wave system  vortex patch  Euler equations  Kirchhoff-Routh function  variational problem  
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
收藏  |  浏览/下载：204/0  |  提交时间：2020/01/10
Fractional diffusion-wave equation  nonlinear source  convolution quadrature  generating function  stability and convergence  
Steady vortex patch solutions to the vortex-wave system 期刊论文
NONLINEARITY, 2019, 卷号: 32, 期号: 5, 页码: 1882-1904
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载：228/0  |  提交时间：2020/01/10
vortex-wave system  vortex patch  Euler equation  Kirchhoff-Routh function  maximization  desingularization  
A numerical study of the 3-periodic wave solutions to KdV-type equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 355, 页码: 566-581
作者:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
收藏  |  浏览/下载：185/0  |  提交时间：2018/07/30
KdV-type equation  3-periodic wave solution  Riemann's theta-function  Gauss-Newton method  
Weighted L (2)-estimates of solutions for damped wave equations with variable coefficients 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 6, 页码: 1270-1292
作者:  Yao, Pengfei;  Zhang, Zhifei
收藏  |  浏览/下载：166/0  |  提交时间：2018/07/30
Distance function of a metric  Riemannian metric  wave equation with variable coefficients  weighted L-2-estimate  
Control and stabilization for the wave equation with variable coefficients in domains with moving boundary 期刊论文
SYSTEMS & CONTROL LETTERS, 2015, 卷号: 80, 页码: 30-41
作者:  Lu, Liqing;  Li, Shengjia;  Chen, Goong;  Yao, Pengfei
收藏  |  浏览/下载：162/0  |  提交时间：2018/07/30
Wave equation with variable coefficients  Moving boundary  Riemannian metric  Distance function of a metric  
DESIGN AND IMPLEMENTATION OF MULTI-WING BUTTERFLY CHAOTIC ATTRACTORS VIA LORENZ-TYPE SYSTEMS 期刊论文
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 卷号: 20, 期号: 1, 页码: 29-41
作者:  Yu, Simin;  Tang, Wallace K. S.;  Lu, Jinhu;  Chen, Guanrong
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
Multi-wing butterfly attractor  Lorenz-type system  sawtooth wave function  circuit implementation  
On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 卷号: 14, 期号: 4, 页码: 1176-1185
作者:  Shen, Yaliang;  Zhu, Yueping;  Cao, Nanbin
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
Symbolic computation  Newly extended tanh-function expansion method  Non-travelling wave solution  Soliton-like solution