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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
作者:
Song, Jin
;
Yan, Zhenya
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2023/02/07
Amended Gross-Pitaevskii equations
PT -symmetric potential
Quantum droplets
Stable solitons
Soliton interactions and excitations
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
收藏
  |  
浏览/下载:31/0
  |  
提交时间:2023/02/07
Multi-componentHirotaequations
mixedbackgrounds
modifiedDarbouxtransform
semi-rational RWs and W-shaped solitons
asymptotic analysis
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
作者:
Weng, Weifang
;
Qiao, Zhijun
;
Yan, Zhenya
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  |  
浏览/下载:13/0
  |  
提交时间: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
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Zhang, Minghe
;
Zhou, Zijian
;
Yan, Zhenya
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2022/04/29
N-component NLS equation
Mixed non-zero and zero backgrounds
Semi-rational rogon-soliton solutions
Soliton-like solutions
Asymptotic analysis
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds
期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 125, 页码: 8
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Zhou, Zijian
;
Yan, Zhenya
收藏
  |  
浏览/下载:12/0
  |  
提交时间:2022/04/02
Five-component Manakov system
Non-zero/zero background
Semi-rational solutions
Rogue waves/rogons
Solitons
A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis
期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 38
作者:
Qin, Guoquan
;
Yan, Zhenya
;
Guo, Boling
收藏
  |  
浏览/下载:8/0
  |  
提交时间:2022/04/02
Sine-type Camassa-Holm equation
Well-posedness
Holder continuity
Blow-up criterion and quantity
Wave breaking
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities
期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
作者:
Qin, Guoquan
;
Yan, Zhenya
;
Guo, Boling
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2022/04/02
mCH-Novikov-CH equation
Wave breaking
Local well-posedness
Holder continuity
Non-periodic and periodic peakon and multi-peakon solutions
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
作者:
Weng, Weifang
;
Zhang, Guoqiang
;
Wang, Li
;
Zhang, Minghe
;
Yan, Zhenya
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2022/04/29
n-component Hirota equation
Non-zero backgrounds
Modified Darboux transform
Multiple roots
Rational RWs and W-shaped solitons
Non-integrable deformation
Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates
期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2021, 卷号: 31, 期号: 5, 页码: 52
作者:
Zhang, Guoqiang
;
Ling, Liming
;
Yan, Zhenya
收藏
  |  
浏览/下载:60/0
  |  
提交时间:2021/10/26
Multi-component NLS equations
Nonzero boundary conditions
Lax pair
Loop group method
Darboux transform
Higher-order vector Peregrine solitons
Parity-time-reversal symmetry
Governing polynomial
Asymptotic estimates
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
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
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