CSpace
Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices
Chang, Xiang-Ke1,2
2022-06-25
发表期刊ADVANCES IN MATHEMATICS
ISSN0001-8708
卷号402页码:45
摘要Motivated by the Novikov equation and its peakon problem, we propose a new mixed type Hermite-Pade approximation whose unique solution is a sequence of polynomials constructed with the help of Pfaffians. These polynomials belong to the family of recently proposed partial-skew-orthogonal polynomials. The relevance of partial-skew-orthogonal polynomials is especially visible in the approximation problem germane to the Novikov peakon problem so that we obtain explicit inverse formulae in terms of Pfaffians by reformulating the inverse spectral problem for the Novikov multipeakons. Furthermore, we investigate two Hermite-Pade approximations for the related spectral problem of the discrete dual cubic string, and show that these approximation problems can also be solved in terms of partial-skew-orthogonal polynomials and nonsymmetric Cauchy biorthogonal polynomials. This formulation results in a new correspondence among several integrable lattices. (c) 2022 Elsevier Inc. All rights reserved.
关键词Hermite-Pade approximation Biorthogonal polynomials Novikov equation Multipeakons
DOI10.1016/j.aim.2022.108338
收录类别SCI
语种英语
资助项目National Natural Science Founda-tion of China[12171461] ; National Natural Science Founda-tion of China[11688101] ; National Natural Science Founda-tion of China[11731014] ; Youth Innovation Promotion Association CAS[2019004]
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000793475900022
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/61370
专题中国科学院数学与系统科学研究院
通讯作者Chang, Xiang-Ke
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Box 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. Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices[J]. ADVANCES IN MATHEMATICS,2022,402:45.
APA Chang, Xiang-Ke.(2022).Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices.ADVANCES IN MATHEMATICS,402,45.
MLA Chang, Xiang-Ke."Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices".ADVANCES IN MATHEMATICS 402(2022):45.
条目包含的文件
条目无相关文件。
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Chang, Xiang-Ke]的文章
百度学术
百度学术中相似的文章
[Chang, Xiang-Ke]的文章
必应学术
必应学术中相似的文章
[Chang, Xiang-Ke]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

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。