Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice

doi:10.1016/j.aim.2016.05.004

	Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice
	Chang, Xiang-Ke1,2 ; Hu, Xing-Biao1 ; Szmigielski, Jacek 2
	2016-08-20
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	299 页码:1-35
摘要	A spectral and the inverse spectral problem are studied for the two-component modified Camassa-Holm type for measures associated to interlacing peaks. It is shown that the spectral problem is equivalent to an inhomogeneous string problem with Diriclalet/Neumann boundary conditions. The inverse problem is solved by Stieltjes's continued fraction expansion, leading to an explicit construction of peakon solutions. Sufficient conditions for global existence of solutions are given. The large time asymptotics reveals that, asymptotically, peakons pair up to form bound states moving with constant speeds. The peakon flow is shown to project to one of the isospectral flows of the finite Kac van Moerbeke lattice. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Multipeakons Camassa-Holm Inverse spectral problem Kac-van Moerbeke lattice
DOI	10.1016/j.aim.2016.05.004
语种	英语
资助项目	Natural Sciences and Engineering Research Council of Canada (NSERC)[163953] ; Department of Mathematics and Statistics of the University of Saskatchewan, PIMS postdoctoral fellowship ; Institute of Computational Mathematics, AMSS, CAS ; National Natural Science Foundation of China[11331008] ; National Natural Science Foundation of China[11371251] ; Knowledge Innovation Program of LSEC ; NSERC[163953]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000380294900001
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/23263
专题	计算数学与科学工程计算研究所
通讯作者	Szmigielski, Jacek
作者单位	1.Chinese Acad Sci, AMSS, LSEC, Inst Computat Math & Sci Engn Comp, POB 2719, Beijing 100190, Peoples R China 2.Univ Saskatchewan, Dept Math & Stat, 106 Wiggins Rd, Saskatoon, SK S7N 5E6, Canada
推荐引用方式 GB/T 7714	Chang, Xiang-Ke,Hu, Xing-Biao,Szmigielski, Jacek. Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice[J]. ADVANCES IN MATHEMATICS,2016,299:1-35.
APA	Chang, Xiang-Ke,Hu, Xing-Biao,&Szmigielski, Jacek.(2016).Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice.ADVANCES IN MATHEMATICS,299,1-35.
MLA	Chang, Xiang-Ke,et al."Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice".ADVANCES IN MATHEMATICS 299(2016):1-35.