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

doi:10.1007/s00033-022-01739-3

CSpace

	Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation
	Qin, Guoquan 1,2; Yan, Zhenya 2,3; Guo, Boling 4
	2022-06-01
发表期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
卷号	73 期号:3 页码:19
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.
关键词	Generalized higher-order CH equation Peakons Conserved quantities Orbital stability
DOI	10.1007/s00033-022-01739-3
收录类别	SCI
语种	英语
资助项目	NSFC of China[11925108]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000782901100001
出版者	SPRINGER INT PUBL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60367
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.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Inst Appl Phys & Computat Math, Beijing 100088, 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.