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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:69/0  |  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:56/0  |  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  
Likelihood identifiability and parameter estimation with nonignorable missing data 期刊论文
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2022, 页码: 20
作者:  ZHENG, Siming;  ZHANG, Juan;  ZHOU, Yong
收藏  |  浏览/下载:63/0  |  提交时间:2023/02/07
Equivalent asymptotic efficiency  exponentially tilting  generalized method of moments  identifiability  nonignorable missingness  
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:49/0  |  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:71/0  |  提交时间:2023/02/07
Key words  inverse source problem  stochastic wave equation  Gaussian random field  pseudodifferential operator  far-field pattern  uniqueness  
Duality between two generalized Aubry-Andre models with exact mobility edges 期刊论文
PHYSICAL REVIEW B, 2021, 卷号: 103, 期号: 17, 页码: 7
作者:  Wang, Yucheng;  Xia, Xu;  Wang, Yongjian;  Zheng, Zuohuan;  Liu, Xiong-Jun
收藏  |  浏览/下载:143/0  |  提交时间:2021/10/26
Structure-Preserving Numerical Methods for Stochastic Poisson Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 802-830
作者:  Hong, Jialin;  Ruan, Jialin;  Sun, Liying;  Wang, Lijin
收藏  |  浏览/下载:132/0  |  提交时间:2021/04/26
Stochastic Poisson systems  Poisson structure  Casimir functions  Poisson integrators  symplectic integrators  generating functions  stochastic rigid body system  
黎曼函数之二算子及其指标 期刊论文
中国科学数学, 2019, 卷号: 049, 期号: 010, 页码: 1377-1388
作者:  葛力明
收藏  |  浏览/下载:149/0  |  提交时间:2020/05/24
黎曼ζ-函数之二:算子及其指标 期刊论文
中国科学:数学, 2019, 卷号: 49.0, 期号: 010, 页码: 1377-1388
作者:  葛力明
收藏  |  浏览/下载:108/0  |  提交时间:2021/01/14
算子指标  KS-变换  L-函数  黎曼假设  
The dynamics of conservative peakons in a family of U(1)-invariant integrable equations of NLS-Hirota type 期刊论文
STUDIES IN APPLIED MATHEMATICS, 2018, 卷号: 141, 期号: 4, 页码: 680-713
作者:  Anco, Stephen C.;  Chang, Xiangke;  Szmigielski, Jacek
收藏  |  浏览/下载:145/0  |  提交时间:2019/01/11
inverse problems  Pade approximations  peakons  tri-Hamiltonian  weak solutions