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

doi:10.1007/s00033-022-01739-3

	Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation
	Qin, Guoquan 3,4; Yan, Zhenya 2,3; Guo, Boling 1
刊名	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
	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
DOI	10.1007/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
出版者	SPRINGER INT PUBL AG
WOS记录号	WOS:000782901100001
内容类型	期刊论文
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.