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On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 345, 页码: 1-44
作者:  Coron, Jean-Michel;  Xiang, Shengquan;  Zhang, Ping
收藏  |  浏览/下载：87/0  |  提交时间：2023/02/07
Semiclassical Schr?dinger equation  Quantum density  Quantum momentum  Controllability  Semiclassical limit  
Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 卷号: 518, 期号: 1, 页码: 25
作者:  Zhao, Zhongliu;  Zhang, Wensheng
收藏  |  浏览/下载：123/0  |  提交时间：2023/02/07
Inverse problem  Semi-discrete Schr?dinger equation  Discrete Carleman estimate  Convergence  Stability  
Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations 期刊论文
WAVE MOTION, 2022, 卷号: 115, 页码: 15
作者:  Song, Jin;  Zhou, Zijian;  Dong, Huanhe;  Yan, Zhenya
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Generalized nonlinear Schr?dinger equation  PT-symmetric potentials  Stable solitons and peakons  Quantum information entropy  Soliton interactions and adiabatic  excitations  
ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
收藏  |  浏览/下载：61/0  |  提交时间：2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
Integrable nonlocal derivative nonlinear Schr?dinger equations 期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 6
作者:  Ablowitz,Mark J;  Luo,Xu-Dan;  Musslimani,Ziad H;  Zhu,Yi
收藏  |  浏览/下载：94/0  |  提交时间：2022/06/21
inverse scattering transform  Riemann–Hilbert problems  Gel’fand–Levitan–Marchenko equations  the derivative NLS equations  solitons  
Deep learning neural networks for the third-order nonlinear Schr?dinger equation: bright solitons, breathers, and rogue waves 期刊论文
Communications in Theoretical Physics, 2021, 卷号: 73, 期号: 10
作者:  Zhou,Zijian;  Yan,Zhenya
收藏  |  浏览/下载：101/0  |  提交时间：2022/04/02
third-order nonlinear Schr?dinger equation  deep learning  data-driven solitons  data-driven parameter discovery  
Concentrating standing waves for the fractional Schr?dinger equation with critical nonlinearities 期刊论文
Boundary Value Problems, 2015, 卷号: 2015, 期号: 1
作者:  Li,Suhong;  Ding,Yanheng;  Chen,Yu
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
ground state  concentration  standing waves  nonlocal  35Q40  49J35  
Existence of positive solutions for a critical nonlinear Schr?dinger equation with vanishing or coercive potentials 期刊论文
Boundary Value Problems, 2013, 卷号: 2013, 期号: 1
作者:  Chen,Shaowei
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
semilinear Schr?dinger equation  vanishing or coercive potentials  
A mass conserved splitting method for the nonlinear Schr?dinger equation 期刊论文
Advances in Difference Equations, 2012, 卷号: 2012, 期号: 1
作者:  Hua,Dong-Ying;  Li,Xiang-Gui;  Zhu,Jiang
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
time-splitting  finite difference  dipolar Bose-Einstein condensates  Schr?dinger equation  conservation  
Infinitely many sign-changing solutions for a Schr? dinger equation 期刊论文
Advances in Difference Equations, 2011, 卷号: 2011, 期号: 1
作者:  Qian,Aixia
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Schr? dinger equation  sign-changing critical point  (w*-PS) condition