KMS Of Academy of mathematics and systems sciences, CAS
An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type | |
Chang, Xiang-Ke1,2; Hu, Xing-Biao1,2; Li, Shi-Hao1,2; Zhao, Jun-Xiao2,3 | |
2018-11-07 | |
发表期刊 | ADVANCES IN MATHEMATICS |
ISSN | 0001-8708 |
卷号 | 338页码:1077-1118 |
摘要 | The Novikov equation is an integrable analogue of the Camassa-Holm equation with a cubic (rather than quadratic) nonlinear term. Both these equations support a special family of weak solutions called multipeakon solutions. In this paper, an approach involving Pfaffians is applied to study multipeakons of the Novikov equation. First, we show that the Novikov peakon ODEs describe an isospectral flow on the manifold cut out by certain Pfaffian identities. Then, a link between the Novikov peakons and the finite Toda lattice of BKP type (B-Toda lattice) is established based on the use of Pfaffians. Finally, certain generalizations of the Novikov equation and the finite B-Toda lattice are proposed together with special solutions. To our knowledge, it is the first time that the peakon problem is interpreted in terms of Pfaffians. (C) 2018 Elsevier Inc. All rights reserved. |
关键词 | Multipeakons Pfaffian Novikov equation Toda lattice of BKP type |
DOI | 10.1016/j.aim.2018.09.023 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China ; [11701550] ; [11731014] ; [11331008] ; [11571358] ; [11271362] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000447961200024 |
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/31656 |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Li, Shi-Hao |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Glasgow Int Coll, 56 Dumbarton Rd, Glasgow G11 6NU, Lanark, Scotland |
推荐引用方式 GB/T 7714 | Chang, Xiang-Ke,Hu, Xing-Biao,Li, Shi-Hao,et al. An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type[J]. ADVANCES IN MATHEMATICS,2018,338:1077-1118. |
APA | Chang, Xiang-Ke,Hu, Xing-Biao,Li, Shi-Hao,&Zhao, Jun-Xiao.(2018).An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type.ADVANCES IN MATHEMATICS,338,1077-1118. |
MLA | Chang, Xiang-Ke,et al."An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type".ADVANCES IN MATHEMATICS 338(2018):1077-1118. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论