Liouville Integrability of Conservative Peakons for a Modified CH equation

doi:10.1080/14029251.2017.1375693

	Liouville Integrability of Conservative Peakons for a Modified CH equation
	Chang, Xiangke1,2 ; Szmigielski, Jacek 2
	2017
发表期刊	JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN	1402-9251
卷号	24 期号:4 页码:584-595
摘要	The modified Camassa-Holm (also called FORQ) equation is one of numerous cousins of the Camassa-Holm equation possessing non-smoth solitons (peakons) as special solutions. The peakon sector of solutions is not uniquely defined: in one peakon sector (dissipative(a)) the Sobolev H-1 norm is not preserved, in the other sector (conservative), introduced in [2], the time evolution of peakons leaves the H-1 norm invariant. In this Letter, it is shown that the conservative peakon equations of the modified Camassa-Holm can be given an appropriate Poisson structure relative to which the equations are Hamiltonian and, in fact, Liouville integrable. The latter is proved directly by exploiting the inverse spectral techniques, especially asymptotic analysis of solutions, developed elsewhere [3].
关键词	Conservative peakons Liouville integrability
DOI	10.1080/14029251.2017.1375693
语种	英语
资助项目	Natural Sciences and Engineering Research Council of Canada (NSERC) ; Department of Mathematics and Statistics of the University of Saskatchewan ; PIMS ; Institute of Computational Mathematics, AMSS, CAS ; NSERC[163953]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000414999400010
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26908
专题	计算数学与科学工程计算研究所
通讯作者	Chang, Xiangke
作者单位	1.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, AMSS, 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, Xiangke,Szmigielski, Jacek. Liouville Integrability of Conservative Peakons for a Modified CH equation[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS,2017,24(4):584-595.
APA	Chang, Xiangke,&Szmigielski, Jacek.(2017).Liouville Integrability of Conservative Peakons for a Modified CH equation.JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS,24(4),584-595.
MLA	Chang, Xiangke,et al."Liouville Integrability of Conservative Peakons for a Modified CH equation".JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 24.4(2017):584-595.