Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation | |
Qin, Guoquan3,4; Yan, Zhenya2,3; Guo, Boling1 | |
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. |
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