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Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
作者:  Zhong, Ming;  Gong, Shibo;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载：66/0  |  提交时间：2023/02/07
GeneralizedGrossPitaevskiiequation  ComplexPT-symmetricpotentials  Physics-informeddeepneuralnetworks  Data-driven rogue waves and parameters discovery discovery  
Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized PT-Scarf-II Potentials 期刊论文
NEURAL PROCESSING LETTERS, 2022, 页码: 19
作者:  Zhong, Ming;  Zhang, Jian-Guo;  Zhou, Zijian;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载：53/0  |  提交时间：2023/02/07
Focusing and defocusing nonlinear Schrodinger equations  Generalized PT-Scarf-II potential  Physics-informed deep neural networks  Data-driven solitons and parameters discovery  
Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 430, 页码: 14
作者:  Chen, Yong;  Yan, Zhenya;  Malomed, Boris A.
收藏  |  浏览/下载：126/0  |  提交时间：2022/04/29
Higher-dimensional nonlinear Schrodinger equation  PT -symmetric potentials  Stable solitons  Adiabatic management  
A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 页码: 15
作者:  Zhang, Jingna;  Huang, Jianfei;  Aleroev, Temirkhan S.;  Tang, Yifa
收藏  |  浏览/下载：136/0  |  提交时间：2021/04/26
Time-space fractional nonlinear vibration equations  two dimensions  linearized ADI scheme  stability  convergence  
Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 268, 期号: 6, 页码: 2910-2948
作者:  Liu, Wei;  Roeckner, Michael;  Sun, Xiaobin;  Xie, Yingchao
收藏  |  浏览/下载：140/0  |  提交时间：2020/05/24
Averaging principle  Local Lipschitz  Time-dependent  Strong convergence  Stochastic differential equations  
Asymmetric critical p-Laplacian problems 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 57, 期号: 5, 页码: 18
作者:  Perera, Kanishka;  Yang, Yang;  Zhang, Zhitao
收藏  |  浏览/下载：148/0  |  提交时间：2018/10/07
GROUND AND BOUND STATE SOLUTIONS FOR A SCHRODINGER SYSTEM WITH LINEAR AND NONLINEAR COUPLINGS IN R-N 期刊论文
ADVANCES IN DIFFERENTIAL EQUATIONS, 2018, 卷号: 23, 期号: 7-8, 页码: 615-648
作者:  Perera, Kanishka;  Tintarev, Cyril;  Wang, Jun;  Zhang, Zhitao
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
作者:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
浏览  |  Adobe PDF(475Kb)  |  收藏  |  浏览/下载：528/165  |  提交时间：2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
Effects of HIV infection on CD4+ T-cell population based on a fractional-order model 期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2017, 卷号: 92, 期号: 2017, 页码: 1-14
作者:  Sadia,Arshad;  Dumitru,Baleanu;  Weiping Bu;  Yifa Tang(唐贻发)
浏览  |  Adobe PDF(2133Kb)  |  收藏  |  浏览/下载：444/126  |  提交时间：2018/07/19
Fractional Derivative  Hiv Model  Finite Difference Scheme  Dynamical Analysis  
A Local Approximation of Fundamental Measure Theory Incorporated into Three Dimensional Poisson-Nernst-Planck Equations to Account for Hard Sphere Repulsion Among Ions 期刊论文
JOURNAL OF STATISTICAL PHYSICS, 2016, 卷号: 163, 期号: 1, 页码: 156-174
作者:  Qiao, Yu;  Liu, Xuejiao;  Chen, Minxin;  Lu, Benzhuo
收藏  |  浏览/下载：145/0  |  提交时间：2018/07/30
Hard sphere repulsion  Three dimensional fundamental measure theory  Poisson-Nernst-Planck equations  Size-modified PNP  Equation of state