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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  
INVERSE ELASTIC SCATTERING FOR A RANDOM POTENTIAL\ast 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 5, 页码: 5126-5159
作者:  LI, Jianliang;  LI, Peijun;  Wang, Xu
收藏  |  浏览/下载：84/0  |  提交时间：2023/02/07
inverse scattering problem  elastic wave equation  generalized Gaussian random field  pseudodifferential operator  principal symbol  uniqueness  
INVERSE SOURCE PROBLEMS FOR THE STOCHASTIC WAVE EQUATIONS: FAR-FIELD PATTERNS 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 82, 期号: 4, 页码: 1113-1134
作者:  Li, Jianliang;  Li, Peijun;  Wang, Xu
收藏  |  浏览/下载：105/0  |  提交时间：2023/02/07
Key words  inverse source problem  stochastic wave equation  Gaussian random field  pseudodifferential operator  far-field pattern  uniqueness  
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：149/0  |  提交时间：2022/04/02
AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
Multi-symplectic preserving integrator for the Schrodinger equation with wave operator 期刊论文
APPLIED MATHEMATICAL MODELLING, 2015, 卷号: 39, 期号: 22, 页码: 6817-6829
作者:  Wang, Lan;  Kong, Linghua;  Zhang, Liying;  Zhou, Wenying;  Zheng, Xiaohong
收藏  |  浏览/下载：139/0  |  提交时间：2018/07/30
Schrodinger equation with wave operator  Multi-symplectic integrator  Conservation laws  
Flag partial differential equations and representations of lie algebras 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2008, 卷号: 102, 期号: 2-3, 页码: 249-280
作者:  Xu, Xiaoping
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
flag  partial differential equation  polynomial solution  laplace equation  wave equation  tree diagram  generalized Tricomi operator  Lie algebra  representation  
Invertibility of convolution operators in problems of wave diffraction by a strip with reactance and Dirichlet conditions 期刊论文
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2005, 卷号: 24, 期号: 3, 页码: 545-560
作者:  Castro, LP;  Zhang, B
收藏  |  浏览/下载：163/0  |  提交时间：2018/07/30
convolution type operator  wave diffraction  Wiener-Hopf operator  equivalence after extension relation  
True amplitude seismic migration operator in 3D heterogeneous medium 期刊论文
CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2004, 卷号: 47, 期号: 3, 页码: 509-513
作者:  Cui, XF;  Zhang, GQ;  Wu, YL
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
one way wave equation  true amplitude migration  split step Fourier migration operator  Fourier finite difference migration operator  
Methods for wave equation prestack depth migration and numerical experiments 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2004, 卷号: 47, 页码: 111-120
作者:  Zhang, GQ;  Zhang, WS
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/30
wave operator splitting  3D prestack depth migration  SEG/EAEG model  synthesized-shot  finite-difference method  factorization method  hybrid method  MPI  
A conservative numerical scheme for a class of nonlinear Schrodinger equation with wave operator 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2003, 卷号: 145, 期号: 2-3, 页码: 603-612
作者:  Zhang, LM;  Chang, QS
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
wave operator  nonlinear Schrodinger equation  difference scheme  convergence