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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
作者:
Weng, Weifang
;
Zhang, Minghe
;
Zhang, Guoqiang
;
Yan, Zhenya
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  |  
浏览/下载:8/0
  |  
提交时间: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
作者:
Zhong, Ming
;
Yan, Zhenya
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  |  
浏览/下载:9/0
  |  
提交时间: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
作者:
Li, Zaizheng
;
Zhang, Qidi
;
Zhang, Zhitao
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  |  
浏览/下载:3/0
  |  
提交时间: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
作者:
Dai, Wei
;
Liu, Zhao
;
Qin, Guolin
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  |  
浏览/下载:7/0
  |  
提交时间: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
BLOWUP RESULTS FOR THE FRACTIONAL SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021
作者:
Shi, Qihong
;
Peng, Congming
;
Wang, Qingxuan
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浏览/下载:6/0
  |  
提交时间:2022/03/01
Test function
Weak solution
Global nonexistence
Lifespan of solutions
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
作者:
Luo, Haijun
;
Zhang, Zhitao
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浏览/下载:39/0
  |  
提交时间:2020/10/12
Infinitely many solutions for a class of sublinear fractional Schrodinger equations with indefinite potentials
期刊论文
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 卷号: 2020, 期号: 1
作者:
Guan, Wen
;
Wang, Bin
;
Hao, Xinan
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浏览/下载:8/0
  |  
提交时间:2022/03/01
Fractional Schrodinger equation
Indefinite potential
Symmetric mountain pass theorem
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
作者:
Liu, Zhisu
;
Luo, Haijun
;
Zhang, Zhitao
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浏览/下载:270/0
  |  
提交时间:2020/01/10
Dancer-Fucik point spectrum
Fractional Schrodinger operators
Foliated Schwartz symmetric
Nonresonance
One-dimensional gap solitons in quintic and cubic-quintic fractional nonlinear Schrodinger equations with a periodically modulated linear potential
期刊论文
NONLINEAR DYNAMICS, 2019, 卷号: 98, 期号: 2, 页码: 985-995
作者:
Zeng, Liangwei
;
Zeng, Jianhua
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浏览/下载:57/0
  |  
提交时间:2019/12/11
Fractional calculus
Cubic-quintic nonlinearity
Nonlinear Schrodinger equation
Gap solitons
GROUND STATES OF NONLINEAR SCHRODINGER EQUATIONS WITH FRACTIONAL LAPLACIANS
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2019, 卷号: 12, 页码: 2115-2125
作者:
Shen, Zupei
;
Han, Zhiqing
;
Zhang, Qinqin
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  |  
浏览/下载:9/0
  |  
提交时间:2019/12/02
Schrodinger equation
fractional Laplacian
ground state
rearrangement
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