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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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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:11/0
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Submit date:2023/02/07
Logarithmic nonlinear Schrodinger
equation
PT-symmetric potentials
Stable solitons
Interactions
Excitations
Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 427, 页码: 13
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Wang, Li
;
Zhang, Minghe
;
Yan, Zhenya
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View/Download:76/0
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Submit date:2022/04/29
n-component Hirota equation
Non-zero backgrounds
Modified Darboux transform
Multiple roots
Rational RWs and W-shaped solitons
Non-integrable deformation
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach
期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
Authors:
Chen, Shuyan
;
Yan, Zhenya
;
Guo, Boling
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View/Download:94/0
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Submit date:2021/06/01
Focusing Hirota equation
Non-zero boundary conditions
Inverse scattering
Oscillatory Riemann-Hilbert problem
Nonlinear steepest-descent method
Long-time asymptotics
Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions
期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 卷号: 80, 页码: 22
Authors:
Zhang, Guoqiang
;
Chen, Shuyan
;
Yan, Zhenya
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View/Download:120/0
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Submit date:2020/01/10
Hirota equation
Non-zero boundary conditions
Inverse scattering
Riemann-Hilbert problem
Solitons
Breathers
时间尺度上三阶Emden-Fowler中立型时滞动力方程的振动性和渐近性
期刊论文
应用数学学报, 2020, 卷号: 43.0, 期号: 003, 页码: 502-516
Authors:
仉志余
;
张燕燕
;
俞元洪
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View/Download:75/0
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Submit date:2021/01/14
时间尺度
三阶非线性动力方程
Emden-Fowler方程
中立型
振动准则
渐近性
The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons
期刊论文
PHYSICS LETTERS A, 2019, 卷号: 383, 期号: 29, 页码: 11
Authors:
Chen, Shuyan
;
Yan, Zhenya
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View/Download:123/0
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Submit date:2020/01/10
Higher-order nonlinear Schrodinger equation
Non-zero boundary conditions
Riemann-Hilbert problem
Darboux transform
Breathers, rogons
Solitons
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves
期刊论文
APPLIED MATHEMATICS LETTERS, 2019, 卷号: 95, 页码: 65-71
Authors:
Chen, Shuyan
;
Yan, Zhenya
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View/Download:108/0
  |  
Submit date:2020/01/10
Hirota equation
Non-zero boundary conditions
Riemann-Hilbert problem
Darboux transform
Breathers
Rogue waves
Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 x 4 Lax pair on a finite interval
期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 卷号: 60, 期号: 8, 页码: 47
Authors:
Yan, Zhenya
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View/Download:116/0
  |  
Submit date:2020/01/10
Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media
期刊论文
CHAOS, 2019, 卷号: 29, 期号: 8, 页码: 10
Authors:
Chen, Yong
;
Yan, Zhenya
;
Mihalache, Dumitru
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View/Download:103/0
  |  
Submit date:2020/01/10
Attraction centers and parity-time-symmetric delta-functional dipoles in critical and supercritical self-focusing media
期刊论文
PHYSICAL REVIEW E, 2019, 卷号: 99, 期号: 5, 页码: 10
Authors:
Wang, Li
;
Malomed, Boris A.
;
Yan, Zhenya
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View/Download:105/0
  |  
Submit date:2020/01/10