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Moment modification, multipeakons, and nonisospectral generalizations

文献类型：期刊论文

作者Chang, Xiang-Ke1,2; Hu, Xing-Biao1,2; Li, Shi-Hao1,2
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期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
DOI10.1016/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
WOS记录号WOS:000443798400002
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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