Moment modification, multipeakons, and nonisospectral generalizations

doi:10.1016/j.jde.2018.05.020

	Moment modification, multipeakons, and nonisospectral generalizations
	Chang, Xiang-Ke1,2 ; Hu, Xing-Biao1,2 ; Li, Shi-Hao 1,2
	2018-11-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	265 期号:9 页码:3858-3887
摘要	Firstly, 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.
关键词	Moment modification Nonisospectral Camassa-Holm type equation Peakon solutions
DOI	10.1016/j.jde.2018.05.020
语种	英语
资助项目	National Natural Science Foundation of China ; [11701550] ; [11731014] ; [11331008] ; [11571358]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000443798400002
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30950
专题	计算数学与科学工程计算研究所
通讯作者	Chang, Xiang-Ke
作者单位	1.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
推荐引用方式 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.