Moment modification, multipeakons, and nonisospectral generalizations | |
Chang, Xiang-Ke1,2; Hu, Xing-Biao1,2; Li, Shi-Hao1,2 | |
刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS |
2018-11-05 | |
卷号 | 265期号:9页码:3858-3887 |
关键词 | Moment modification Nonisospectral Camassa-Holm type equation Peakon solutions |
ISSN号 | 0022-0396 |
DOI | 10.1016/j.jde.2018.05.020 |
英文摘要 | 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. |
资助项目 | National Natural Science Foundation of China ; [11701550] ; [11731014] ; [11331008] ; [11571358] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
WOS记录号 | WOS:000443798400002 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30928] |
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. |
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