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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
Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices
期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 402, 页码: 45
作者:
Chang, Xiang-Ke
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  |  
浏览/下载:3/0
  |  
提交时间:2023/02/07
Hermite-Pade approximation
Biorthogonal polynomials
Novikov equation
Multipeakons
Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation
期刊论文
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 卷号: 73, 期号: 3, 页码: 19
作者:
Qin, Guoquan
;
Yan, Zhenya
;
Guo, Boling
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  |  
浏览/下载:9/0
  |  
提交时间:2022/06/21
Generalized higher-order CH equation
Peakons
Conserved quantities
Orbital stability
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
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
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  |  
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
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  |  
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
Formation, stability, and adiabatic excitation of peakons and double-hump solitons in parity-time-symmetric Dirac-delta(x)-Scarf-II optical potentials
期刊论文
PHYSICAL REVIEW E, 2022, 卷号: 105, 期号: 1, 页码: 16
作者:
Zhong, Ming
;
Chen, Yong
;
Yan, Zhenya
;
Tian, Shou-Fu
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  |  
浏览/下载:8/0
  |  
提交时间:2022/04/02
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
作者:
Wang, Li
;
Yan, Zhenya
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  |  
浏览/下载:2/0
  |  
提交时间: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
Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials
期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 页码: 33
作者:
Chang, Xiang-Ke
;
Hu, Xing-Biao
;
Szmigielski, Jacek
;
Zhedanov, Alexei
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  |  
浏览/下载:11/0
  |  
提交时间:2020/05/24
EXPLICIT PEAKON SOLUTIONS TO A FAMILY OF WAVE-BREAKING EQUATIONS
期刊论文
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 卷号: 9, 期号: 5, 页码: 1987-1998
作者:
Zhang, Lijun
;
Zhang, Jianming
;
Bai, Yuzhen
;
Hakl, Robert
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  |  
浏览/下载:4/0
  |  
提交时间:2019/12/11
wave-breaking equations
singular wave solutions
peakon solutions
singular line
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