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Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 127, 页码: 164-178
作者:  Hong, Jialin;  Ji, Lihai;  Liu, Zhihui
收藏  |  浏览/下载：155/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in R-3 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 卷号: 461, 期号: 1, 页码: 128-149
作者:  Sun, Dongdong;  Zhang, Zhitao
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Kirchhoff type problems  Concentration  Schrodinger equation  Ground state solution  
Multi-dimensional stable fundamental solitons and excitations in PT-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 57, 页码: 34-46
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/25
Multi-dimensional nonlinear  Schrodinger-like equation  PT-symmetric harmonic-Gaussian potential  Stable solitons  Interactions  Soliton excitations  
On concentration of positive ground states for the asymptotically linear fractional Schrodinger equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 卷号: 59, 期号: 2, 页码: 10
作者:  Li, Suhong;  Li, Jiongyue;  Chen, Yu
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement 期刊论文
INTERNATIONAL JOURNAL OF CONTROL, 2018, 卷号: 91, 期号: 7, 页码: 1508-1521
作者:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
收藏  |  浏览/下载：137/0  |  提交时间：2018/07/30
Identification  damping coefficient  anti-stable PDEs  anti-damping coefficient  
ANALYSIS OF A SPLITTING SCHEME FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION WITH MULTIPLICATIVE NOISE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2045-2069
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：141/0  |  提交时间：2018/10/07
damped stochastic nonlinear Schrodinger equation  exponential integrability  strong order  weak order  Kolmogorov equation  
Fundamental solitons and dynamical analysis in the defocusing Kerr medium and -symmetric rational potential 期刊论文
NONLINEAR DYNAMICS, 2018, 卷号: 91, 期号: 2, 页码: 853-861
作者:  Li, Xin;  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
Nonlinear Schrodinger-like equation  PT-symmetric rational potential  Bright solitons  Interactions  Soliton excitations  
Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 114-143
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun;  Zhang, Huai
收藏  |  浏览/下载：156/0  |  提交时间：2018/07/30
Multisymplectic formulation  Hamiltonian PDEs  local discontinuous Galerkin method  numerical flux  conservation law