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Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation

文献类型：期刊论文

作者Qin, Guoquan3,4; Yan, Zhenya2,3; Guo, Boling1
刊名ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
出版日期2022-06-01
卷号73期号:3页码:19
关键词Generalized higher-order CH equation Peakons Conserved quantities Orbital stability
ISSN号0044-2275
DOI10.1007/s00033-022-01739-3
英文摘要In this paper, we investigate the orbital stability issue of a generalized higher-order Camassa-Holm (HOCH) equation, which is a higher-order extension of the quadratic CH equation. Firstly, we show that the HOCH equation admits a global weak peakon solution by paring it with some smooth test function. Secondly, with the help of two conserved quantities and the non-sgn-changing condition, we prove the orbital stability of this peakon solution in the energy space in the sense that its shape remains approximately the same for all times. Our results enrich the research of the orbital stability for the CH-type equations and are useful to better understand the impact of higher-order nonlinearities on the dispersion dynamics.
资助项目NSFC of China[11925108]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000782901100001
出版者SPRINGER INT PUBL AG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60366]  
专题中国科学院数学与系统科学研究院
通讯作者Yan, Zhenya
作者单位1.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Qin, Guoquan,Yan, Zhenya,Guo, Boling. Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2022,73(3):19.
APA Qin, Guoquan,Yan, Zhenya,&Guo, Boling.(2022).Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,73(3),19.
MLA Qin, Guoquan,et al."Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 73.3(2022):19.

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来源：数学与系统科学研究院

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