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Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials
 期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 132, 页码: 9
作者:  Zhou, Zijian;  Song, Jin;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：269/0  |  提交时间：2023/02/07
Logarithmic nonlinear Schrodinger  equation  PT-symmetric potentials  Stable solitons  Interactions  Excitations  
Solving forward and inverse problems of the logarithmic nonlinear Schrodinger equation with PT-symmetric harmonic potential via deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 387, 页码: 12
作者:  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载：178/0  |  提交时间：2021/04/26
Logarithmic nonlinear Schrodinger equation  PT-symmetric potentials  Physics-informed neural networks  Deep learning  Data-driven discovery of LNLS equation  Data-driven solitons  
A GLOBALLY CONVERGENT PRIMAL-DUAL INTERIOR-POINT RELAXATION METHOD FOR NONLINEAR PROGRAMS 期刊论文
MATHEMATICS OF COMPUTATION, 2020, 卷号: 89, 期号: 323, 页码: 1301-1329
作者:  Liu, Xin-Wei;  Dai, Yu-Hong
收藏  |  浏览/下载：195/0  |  提交时间：2020/09/23
Nonlinear programming  constrained optimization  interior-point method  logarithmic barrier problem  global convergence  
Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2016, 卷号: 126, 期号: 4, 页码: 1264-1283
作者:  Li, Xiang-Dong
收藏  |  浏览/下载：172/0  |  提交时间：2018/07/30
Hamilton's Harnack inequality  Gradient estimates  Logarithmic heat kernel  Witten Laplacian  W-entropy formula  
A Probabilistic Proof of the Fundamental Gap Conjecture Via the Coupling by Reflection 期刊论文
POTENTIAL ANALYSIS, 2016, 卷号: 44, 期号: 3, 页码: 423-442
作者:  Gong, Fuzhou;  Li, Huaiqian;  Luo, Dejun
收藏  |  浏览/下载：196/0  |  提交时间：2018/07/30
Schrodinger operator  Spectral gap  Ground state  Coupling by reflection  Logarithmic Sobolev inequality  
Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2010, 卷号: 112, 期号: 2, 页码: 181-203
作者:  Cao, Bintao
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Jimbo-Miwa  Konopelchenko-Dubrovsky  Stable-range  Logarithmic stable-range  
Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs 期刊论文
SCIENCE CHINA-MATHEMATICS, 2010, 卷号: 53, 期号: 1, 页码: 1-22
作者:  Wang Bo;  Wang Rui;  Xu YueSheng
收藏  |  浏览/下载：222/0  |  提交时间：2018/07/30
Dirichlet problem  open arc  singular boundary integral equations  Fourier-Galerkin methods  logarithmic potentials  
Logarithmic heat projective operators 期刊论文
COMMUNICATIONS IN ALGEBRA, 2005, 卷号: 33, 期号: 2, 页码: 425-454
作者:  Sun, XT
收藏  |  浏览/下载：124/0  |  提交时间：2018/07/30
heat operators  logarithmic  moduli spaces  
Limit values of derivatives of the cauchy integrals and computation of the logarithmic potentials 期刊论文
COMPUTING, 2004, 卷号: 73, 期号: 4, 页码: 295-327
作者:  Xu, Y;  Chen, HL;  Zou, Q
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Cauchy integrals  limit values  logarithmic potentials  singular integrals  numerical evaluation of logarithmic potentials