CSpace  > 计算数学与科学工程计算研究所
Moment modification, multipeakons, and nonisospectral generalizations
Chang, Xiang-Ke1,2; Hu, Xing-Biao1,2; Li, Shi-Hao1,2
2018-11-05
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume265Issue:9Pages:3858-3887
AbstractFirstly, a formal correspondence is established between the Camassa-Holm (CH) equation and a two-component modified CH (or called SQQ) equation according to the method of moment modification for multipeakon formulae. Secondly, based on the generalized nonisospectral CH equation in Chang et al. (2014) [14] and the interlacing multipeakons of the two-component modified CH equation in Chang et al. (2016) [15], we propose a new generalized two-component modified CH equation with two parameters, which possesses a nonisospectral Lax pair. The proposed equation still admits multipeakon solutions of explicit and closed form. Sufficient conditions for global existence of solutions are given and two concrete examples with certain interesting phenomenon are presented. Last of all, as a by-product, a generalized nonisospectral modified CH equation is deduced, together with its Lax pair. (C) 2018 Elsevier Inc. All rights reserved.
KeywordMoment modification Nonisospectral Camassa-Holm type equation Peakon solutions
DOI10.1016/j.jde.2018.05.020
Language英语
Funding ProjectNational Natural Science Foundation of China ; [11701550] ; [11731014] ; [11331008] ; [11571358]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000443798400002
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30928
Collection计算数学与科学工程计算研究所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, POB 2719, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Chang, Xiang-Ke,Hu, Xing-Biao,Li, Shi-Hao. Moment modification, multipeakons, and nonisospectral generalizations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2018,265(9):3858-3887.
APA Chang, Xiang-Ke,Hu, Xing-Biao,&Li, Shi-Hao.(2018).Moment modification, multipeakons, and nonisospectral generalizations.JOURNAL OF DIFFERENTIAL EQUATIONS,265(9),3858-3887.
MLA Chang, Xiang-Ke,et al."Moment modification, multipeakons, and nonisospectral generalizations".JOURNAL OF DIFFERENTIAL EQUATIONS 265.9(2018):3858-3887.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Chang, Xiang-Ke]'s Articles
[Hu, Xing-Biao]'s Articles
[Li, Shi-Hao]'s Articles
Baidu academic
Similar articles in Baidu academic
[Chang, Xiang-Ke]'s Articles
[Hu, Xing-Biao]'s Articles
[Li, Shi-Hao]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Chang, Xiang-Ke]'s Articles
[Hu, Xing-Biao]'s Articles
[Li, Shi-Hao]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.