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Liouville Integrability of Conservative Peakons for a Modified CH equation

文献类型：期刊论文

作者Chang, Xiangke1,2; Szmigielski, Jacek2
刊名JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
出版日期2017
卷号24期号:4页码:584-595
关键词Conservative peakons Liouville integrability
ISSN号1402-9251
DOI10.1080/14029251.2017.1375693
英文摘要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].
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
语种英语
WOS记录号WOS:000414999400010
出版者TAYLOR & FRANCIS LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26907]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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