KMS Of Academy of mathematics and systems sciences, CAS
| Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation | |
| Qin, Guoquan1,2; Yan, Zhenya2,3; Guo, Boling4 | |
| 2022-06-01 | |
| Source Publication | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
 |
| ISSN | 0044-2275 |
| Volume | 73Issue:3Pages:19 |
| Abstract | 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. |
| Keyword | Generalized higher-order CH equation Peakons Conserved quantities Orbital stability |
| DOI | 10.1007/s00033-022-01739-3 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSFC of China[11925108] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000782901100001 |
| Publisher | SPRINGER INT PUBL AG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60367 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 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 |
| Recommended Citation 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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