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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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The Fucik spectrum of Schrodinger operators in strongly indefinite cases
期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 卷号: 30, 期号: 2, 页码: 28
作者:
Song, Linjie
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浏览/下载:117/0
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提交时间:2023/02/07
Fucik spectrum
Schrodinger operators
Essential spectrum
Jumping nonlinearities
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
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  |  
浏览/下载:87/0
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提交时间:2023/02/07
Semiclassical Schr?dinger equation
Quantum density
Quantum momentum
Controllability
Semiclassical limit
Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 442, 页码: 15
作者:
Song, Jin
;
Yan, Zhenya
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浏览/下载:66/0
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提交时间:2023/02/07
Amended Gross-Pitaevskii equations
PT -symmetric potential
Quantum droplets
Stable solitons
Soliton interactions and excitations
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:55/0
  |  
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:68/0
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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 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
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浏览/下载:78/0
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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
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浏览/下载:62/0
  |  
提交时间:2023/02/07
XFEL Schr?dinger equation
nonlinear elliptic equations
normalized solutions
orbital stability
strong instability
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:62/0
  |  
提交时间:2023/02/07
Fractional Schrodinger equations
standing wave
orbital stability
least action solution
Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 卷号: 74, 期号: 9, 页码: 17
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Chen, Shuyan
;
Zhou, Zijian
;
Yan, Zhenya
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  |  
浏览/下载:67/0
  |  
提交时间:2023/02/07
Multi-componentHirotaequations
mixedbackgrounds
modifiedDarbouxtransform
semi-rational RWs and W-shaped solitons
asymptotic analysis
Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized PT-Scarf-II Potentials
期刊论文
NEURAL PROCESSING LETTERS, 2022, 页码: 19
作者:
Zhong, Ming
;
Zhang, Jian-Guo
;
Zhou, Zijian
;
Tian, Shou-Fu
;
Yan, Zhenya
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  |  
浏览/下载:56/0
  |  
提交时间:2023/02/07
Focusing and defocusing nonlinear Schrodinger equations
Generalized PT-Scarf-II potential
Physics-informed deep neural networks
Data-driven solitons and parameters discovery