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Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type

文献类型：期刊论文

作者Chang, Xiang-Ke1,2; Hu, Xing-Biao1,2; Li, Shi-Hao1,2
刊名NONLINEARITY
出版日期2018-10-01
卷号31期号:10页码:4746-4775
ISSN号0951-7715
关键词Degasperis-Procesi equation multipeakons Toda lattice of CKP type
DOI10.1088/1361-6544/aad52c
英文摘要In this paper, we propose a finite Toda lattice of CKP type (C-Toda) together with a Lax pair. Our motivation is based on the fact that the Camassa-Holm (CH) peakon dynamical system and the finite Toda lattice may be regarded as opposite flows in some sense. As an intriguing analogue to the CH equation, the Degasperis-Procesi (DP) equation also supports the presence of peakon solutions. Noticing that the peakon solution to the DP equation is expressed in terms of bimoment determinants related to the Cauchy kernel, we impose opposite time evolution on the moments and derive the corresponding bilinear equation. The corresponding quartic representation is shown to be a continuum limit of a reduced discrete CKP equation, due to which we call the obtained equation a finite Toda lattice of CKP type. Then, a nonlinear version of the C-Toda lattice together with a Lax pair is derived. As a result, it is shown that the DP peakon lattice and the finite C-Toda lattice form opposite flows under a certain transformation.
资助项目National Natural Science Foundation of China ; [11701550] ; [11731014] ; [11331008] ; [11571358]
WOS研究方向Mathematics ; Physics
语种英语
出版者IOP PUBLISHING LTD
WOS记录号WOS:000444190100004
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/30955]  
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, LSEC, ICMSEC, Acad Math & Syst Sci, 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. Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type[J]. NONLINEARITY,2018,31(10):4746-4775.
APA Chang, Xiang-Ke,Hu, Xing-Biao,&Li, Shi-Hao.(2018).Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type.NONLINEARITY,31(10),4746-4775.
MLA Chang, Xiang-Ke,et al."Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type".NONLINEARITY 31.10(2018):4746-4775.

入库方式： OAI收割

来源：数学与系统科学研究院

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