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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
作者:
Zhou, Zijian
;
Song, Jin
;
Weng, Weifang
;
Yan, Zhenya
收藏
  |  
浏览/下载:2/0
  |  
提交时间:2023/02/07
Logarithmic nonlinear Schrodinger
equation
PT-symmetric potentials
Stable solitons
Interactions
Excitations
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
作者:
Song, Jin
;
Zhou, Zijian
;
Weng, Weifang
;
Yan, Zhenya
收藏
  |  
浏览/下载:2/0
  |  
提交时间:2023/02/07
Generalized nonlinear Schrodinger
equation
Stable peakon solution
Interactions
Adiabatic excitations
PT-symmetric 8(x)-csch potential
Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials
期刊论文
NONLINEAR DYNAMICS, 2022, 页码: 12
作者:
Li, Xin
;
Wang, Li
;
Zhou, Zijian
;
Chen, Yong
;
Yan, Zhenya
收藏
  |  
浏览/下载:20/0
  |  
提交时间:2022/04/29
Nonlinear Schrodinger equation
PT-symmetric harmonic-hyperbolic-Gaussian potential
Soliton stability
Soliton excitations and collisions
Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 430, 页码: 14
作者:
Chen, Yong
;
Yan, Zhenya
;
Malomed, Boris A.
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  |  
浏览/下载:9/0
  |  
提交时间:2022/04/29
Higher-dimensional nonlinear Schrodinger equation
PT -symmetric potentials
Stable solitons
Adiabatic management
Deep learning neural networks for the third-order nonlinear Schrodinger equation: bright solitons, breathers, and rogue waves
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2021, 卷号: 73, 期号: 10, 页码: 9
作者:
Zhou, Zijian
;
Yan, Zhenya
收藏
  |  
浏览/下载:5/0
  |  
提交时间:2022/04/02
third-order nonlinear Schrodinger equation
deep learning
data-driven solitons
data-driven parameter discovery
DECAY ESTIMATES FOR NONLINEAR SCHRODINGER EQUATIONS
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 8, 页码: 3973-3984
作者:
Fan, Chenjie
;
Zhao, Zehua
收藏
  |  
浏览/下载:20/0
  |  
提交时间:2021/10/26
Nonlinear Schrodinger equation
decay estimate
Stable and oscillating solitons of PT-symmetric couplers with gain and loss in fractional dimension
期刊论文
NONLINEAR DYNAMICS, 2021, 页码: 10
作者:
Zeng, Liangwei
;
Shi, Jincheng
;
Lu, Xiaowei
;
Cai, Yi
;
Zhu, Qifan
收藏
  |  
浏览/下载:49/0
  |  
提交时间:2021/03/23
Fractional calculus
PT-symmetry
Nonlinear Schrodinger equation
Coupled solitons
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
作者:
Zhou, Zijian
;
Yan, Zhenya
收藏
  |  
浏览/下载:36/0
  |  
提交时间: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
Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials
期刊论文
APPLIED MATHEMATICS LETTERS, 2021, 卷号: 111, 页码: 9
作者:
Wang, Li
;
Yan, Zhenya
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2021/01/14
Defocusing nonlinear Schrodinger equation
Modulational instability
PT-symmetric potential
Rogue waves
W-shaped solitons
The Derivative Nonlinear Schrodinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms andN-Double-Pole Solutions
期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2020, 页码: 39
作者:
Zhang, Guoqiang
;
Yan, Zhenya
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2020/09/23
Derivative nonlinear Schrodinger equation
Modified Zakharov-Shabat eigenvalue problem
Inverse scattering
Riemann-Hilbert problem
Zero
nonzero boundary conditions
Double-pole solitons and breathers
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