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

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	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
刊名	ADVANCES IN MATHEMATICS
	2016-08-20
卷号	299 页码:1-35
关键词	Multipeakons Camassa-Holm Inverse spectral problem Kac-van Moerbeke lattice
ISSN号	0001-8708
DOI	10.1016/j.aim.2016.05.004
英文摘要	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.
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
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000380294900001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/23262]
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.