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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 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
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 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
Authors:
Zhong, Ming
;
Zhang, Jian-Guo
;
Zhou, Zijian
;
Tian, Shou-Fu
;
Yan, Zhenya
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View/Download:25/0
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Submit date: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
Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 478, 期号: 2257, 页码: 23
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Yan, Zhenya
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View/Download:72/0
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Submit date:2022/04/02
rational vector rogue waves
rational vector solitons
weak and strong interactions
n-component nonlinear wave system with higher-order effects
modified Darboux transform
Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrodinger equations
期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2022, 卷号: 30, 期号: 8, 页码: 2871-2898
Authors:
Luo, Haijun
;
Zhang, Zhitao
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View/Download:37/0
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Submit date:2023/02/07
biharmonic nonlinear Schrodinger equations
normalized solution
orbital stability
general nonlinearity
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 428, 页码: 15
Authors:
Wang, Li
;
Yan, Zhenya
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View/Download:73/0
  |  
Submit date:2022/04/02
Nonlinear dispersive equation
Initial-boundary value conditions
Physics-informed neural networks
Deep learning
Data-driven peakon and periodic peakon
solutions Data-driven parameter discovery
Solving forward and inverse problems of the logarithmic nonlinear Schrodinger equation with PT-symmetric harmonic potential via deep learning
期刊论文
PHYSICS LETTERS A, 2021, 卷号: 387, 页码: 12
Authors:
Zhou, Zijian
;
Yan, Zhenya
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View/Download:102/0
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Submit date:2021/04/26
Logarithmic nonlinear Schrodinger equation
PT-symmetric potentials
Physics-informed neural networks
Deep learning
Data-driven discovery of LNLS equation
Data-driven solitons
The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios
期刊论文
CHAOS SOLITONS & FRACTALS, 2019, 卷号: 122, 页码: 25-31
Authors:
Yan, Zhenya
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View/Download:102/0
  |  
Submit date:2020/01/10
Nonlinear dispersion
NLS(n, n) equation
Multi-hump compactons
Soliton-like solutions
Stability
Interactions
Response to "Comment on 'Solitonic and chaotic behaviors for the nonlinear dust-acoustic waves in a magnetized dusty plasma'" [Phys. Plasmas 24, 094701 (2017)]
期刊论文
PHYSICS OF PLASMAS, 2018, 卷号: 25, 期号: 2, 页码: 4
Authors:
Zhen, Hui-Ling
;
Tian, Bo
;
Xie, Xi-Yang
;
Wu, Xiao-Yu
;
Wen, Xiao-Yong
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View/Download:134/0
  |  
Submit date:2018/07/30
Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 342, 页码: 267-285
Authors:
Cui, Jianbo
;
Hong, Jialin
;
Liu, Zhihui
;
Zhou, Weien
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View/Download:80/0
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Submit date:2018/07/30
Nonlinear Schrodinger equation
White noise dispersion
Stochastic symplectic and multi-symplectic structures
Stochastic symplectic and multi-symplectic schemes