An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type
文献类型：期刊论文
| 作者 | Chang, Xiang-Ke1,2 ; Hu, Xing-Biao1,2; Li, Shi-Hao1,2; Zhao, Jun-Xiao2,3
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| 刊名 | ADVANCES IN MATHEMATICS
 |
| 出版日期 | 2018-11-07 |
| 卷号 | 338页码:1077-1118 |
| ISSN号 | 0001-8708 |
| 关键词 | Multipeakons Pfaffian Novikov equation Toda lattice of BKP type |
| DOI | 10.1016/j.aim.2018.09.023 |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Foundation of China ; [11701550] ; [11731014] ; [11331008] ; [11571358] ; [11271362] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000447961200024 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31655]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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