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Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations 期刊论文
CHAOS, 2022, 卷号: 32, 期号: 12, 页码: 12
Authors:  Weng, Weifang;  Zhang, Minghe;  Zhang, Guoqiang;  Yan, Zhenya
Favorite  |  View/Download:46/0  |  Submit date:2023/02/07
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
Authors:  Zhong, Ming;  Yan, Zhenya
Favorite  |  View/Download:49/0  |  Submit date:2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
STABLE STANDING WAVES OF NONLINEAR FRACTIONAL SCHRODINGER EQUATIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 页码: 33
Authors:  Li, Zaizheng;  Zhang, Qidi;  Zhang, Zhitao
Favorite  |  View/Download:49/0  |  Submit date:2023/02/07
Fractional Schrodinger equations  standing wave  orbital stability  least action solution  
CLASSIFICATION OF NONNEGATIVE SOLUTIONS TO STATIC SCHRODINGER-HARTREE-MAXWELL TYPE EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 2, 页码: 1379-1410
Authors:  Dai, Wei;  Liu, Zhao;  Qin, Guolin
Favorite  |  View/Download:115/0  |  Submit date:2021/10/26
higher-order fractional Laplacians  Schrodinger-Hartree-Maxwell equations  classification of nonnegative solutions  super poly-harmonic properties  nonlocal nonlinearities  the method of moving spheres  
Normalized solutions to the fractional Schrodinger equations with combined nonlinearities 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 卷号: 59, 期号: 4, 页码: 35
Authors:  Luo, Haijun;  Zhang, Zhitao
Favorite  |  View/Download:170/0  |  Submit date:2020/10/12
Dancer-Fucik spectrum for fractional Schrodinger operators with a steep potential well on R-N 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 卷号: 189, 页码: 26
Authors:  Liu, Zhisu;  Luo, Haijun;  Zhang, Zhitao
Favorite  |  View/Download:237/0  |  Submit date:2020/01/10
Dancer-Fucik point spectrum  Fractional Schrodinger operators  Foliated Schwartz symmetric  Nonresonance  
Concentrating standing waves for the fractional Schrodinger equation with critical nonlinearities 期刊论文
BOUNDARY VALUE PROBLEMS, 2015, 页码: 26
Authors:  Li, Suhong;  Ding, Yanheng;  Chen, Yu
Favorite  |  View/Download:104/0  |  Submit date:2018/07/30
ground state  concentration  standing waves  nonlocal  
Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation 期刊论文
PHYSICAL REVIEW E, 2015, 卷号: 92, 期号: 1, 页码: 19
Authors:  Wen, Xiao-Yong;  Yang, Yunqing;  Yan, Zhenya
Favorite  |  View/Download:119/0  |  Submit date:2018/07/30
Global Well-Posedness for the Fractional Nonlinear Schrodinger Equation 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 卷号: 36, 期号: 2, 页码: 247-255
Authors:  Guo, Boling;  Huo, Zhaohui
Favorite  |  View/Download:82/0  |  Submit date:2018/07/30
Fractional Schrodinger equation  Global well-posedness  Xs  b spaces