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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
收藏
  |  
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
收藏
  |  
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
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
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
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2020/05/24
Stability of peakons for the generalized modified Camassa-Holm equation
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 页码: 7749-7779
作者:
Guo, Zihua
;
Liu, Xiaochuan
;
Liu, Xingxing
;
Qu, Changzheng
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  |  
浏览/下载:14/0
  |  
提交时间:2019/11/19
Higher-order nonlinearity
Peakons
Generalized modified Camassa-Holm equation
Orbital stability
Local well-posedness and blow-up phenomenon for a generalization two component Camassa-Holm system
期刊论文
Journal of Evolution Equations, 2019, 页码: 1-29
-
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浏览/下载:10/0
  |  
提交时间:2019/12/02
Continuity properties of the data-to-solution map for the two-component higher order Camassa-Holm system
期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 卷号: 45, 页码: 866-876
作者:
Wang, Feng
;
Li, Fengquan
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2019/12/02
Two-component higher order
Camassa-Holm system
Cauchy problem
Well-posedness
Holder continuity
The Cauchy problem for higher-order modified Camassa–Holm equations on the circle
期刊论文
Nonlinear Analysis, Theory, Methods and Applications, 2019, 卷号: 187
作者:
Yan, Wei
;
Li, Yongsheng
;
Zhai, Xiaoping
;
Zhang, Yimin
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  |  
浏览/下载:0/0
  |  
提交时间:2019/12/05
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