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Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
Authors:  Wang, Li;  Yan, Zhenya
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Defocusing NLS equation with the  time-dependent potential  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven rogue waves and parameter discovery  
A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term 期刊论文
APPLICABLE ANALYSIS, 2021, 页码: 34
Authors:  Meng, Shixu;  Oudghiri-Idrissi, Othman;  Guzina, Bojan B.
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Waves in periodic media  dynamic homogenization  finite frequency  band gap  (Floquet-)Bloch transform  variational formulation  
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
Authors:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
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N-periodic wave solution  coupled KdV-Toda-type equation  Riemann's -function  the direct method  
WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 卷号: 18, 期号: 2, 页码: 235-264
Authors:  Zhang, Yongwei;  Cao, Liqun;  Shi, Dongyang
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Maxwell's equations  dispersive medium  well-posedness  the multiscale asymptotic expansion  finite element method  
ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE 期刊论文
MULTISCALE MODELING & SIMULATION, 2021, 卷号: 19, 期号: 2, 页码: 830-845
Authors:  Ye, Changqing;  Cui, Junzhi;  Dong, Hao
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elliptic hemivariational inequality  homogenization  finite element method  error estimates  contact problems  Robin problems  
3D tamed Navier-Stokes equations driven by multiplicative Levy noise: Existence, uniqueness and large deviations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 492, 期号: 1, 页码: 48
Authors:  Dong, Zhao;  Zhang, Rangrang
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Stochastic 3D tamed Navier-Stokes equations  Levy noise  Large deviations  Weak convergence method  
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
Authors:  Hu, Xingbiao;  Pan, Yan;  Sun, Jianqing;  Wang, Hui;  Zhang, Yingnan
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mKdV-sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
Periodic Points and Normality Concerning Meromorphic Functions with Multiplicity 期刊论文
ACTA MATHEMATICA SCIENTIA, 2020, 卷号: 40, 期号: 5, 页码: 1429-1444
Authors:  Deng, Bingmao;  Fang, Mingliang;  Wang, Yuefei
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normality  iteration  periodic points  
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
Authors:  Hu,Xingbiao;  Pan,Yan;  Sun,Jianqing;  Wang,Hui;  Zhang,Yingnan
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mKdV–sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2020, 卷号: 373, 页码: 17
Authors:  Zhang, Meng;  Zhao, Yi;  Chen, Lansun;  Li, Zeyu
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State feedback  Impulsive model  Ecological balance  Order-2 periodic solution