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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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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
Authors:
Song, Jin
;
Yan, Zhenya
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Submit date: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
Authors:
Weng, Weifang
;
Zhang, Minghe
;
Zhang, Guoqiang
;
Yan, Zhenya
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View/Download:19/0
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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
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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
New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies
期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 164, 页码: 6
Authors:
Zhenya Yan
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View/Download:19/0
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Submit date:2023/02/07
Multi-Levy-index and mix-index fractional soliton hierarchy
Integrable fractional system
Anomalous dispersion relation
Inverse scattering
Riemann-Hilbert problem
Solitons
Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
Authors:
Zhong, Ming
;
Gong, Shibo
;
Tian, Shou-Fu
;
Yan, Zhenya
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View/Download:18/0
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Submit date:2023/02/07
GeneralizedGrossPitaevskiiequation
ComplexPT-symmetricpotentials
Physics-informeddeepneuralnetworks
Data-driven rogue waves and parameters discovery discovery
Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials
期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 132, 页码: 9
Authors:
Zhou, Zijian
;
Song, Jin
;
Weng, Weifang
;
Yan, Zhenya
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View/Download:60/0
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Submit date:2023/02/07
Logarithmic nonlinear Schrodinger
equation
PT-symmetric potentials
Stable solitons
Interactions
Excitations
N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method
期刊论文
WAVE MOTION, 2022, 卷号: 114, 页码: 13
Authors:
Zhang, Minghe
;
Weng, Weifang
;
Yan, Zhenya
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Submit date:2023/02/07
Multi-component third-fifth-order mKdV
equations
Lax pair
Riemann-Hilbert approach
Soliton solutions
Breathers
PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 435, 页码: 14
Authors:
Song, Jin
;
Zhou, Zijian
;
Weng, Weifang
;
Yan, Zhenya
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View/Download:15/0
  |  
Submit date:2023/02/07
Generalized nonlinear Schrodinger
equation
Stable peakon solution
Interactions
Adiabatic excitations
PT-symmetric 8(x)-csch potential
Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation
期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 47
Authors:
Weng, Weifang
;
Qiao, Zhijun
;
Yan, Zhenya
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View/Download:70/0
  |  
Submit date:2022/04/29
Generalized cubic-quintic CH equation
Well-posedness
Wave breaking
Weak solutions
Non-periodic and periodic peakon solutions
Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 432, 页码: 15
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Zhang, Minghe
;
Zhou, Zijian
;
Yan, Zhenya
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View/Download:81/0
  |  
Submit date:2022/04/29
N-component NLS equation
Mixed non-zero and zero backgrounds
Semi-rational rogon-soliton solutions
Soliton-like solutions
Asymptotic analysis