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Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants
Chen, Xiao-Min1,2; Hu, Xing-Biao3,4; Mueller-Hoissen, Folkert2,5
2018-09-01
Source PublicationNONLINEARITY
ISSN0951-7715
Volume31Issue:9Pages:4393-4422
AbstractFor the first two equations of the Volterra lattice hierarchy and the first two equations of its non-autonomous (non-isospectral) extension, we present Riccati systems for functions c(j)(t), j = 0, 1, ..., such that an expression in terms of Hankel determinants built from them solves these equations on the right half of the lattice. This actually achieves a complete linearization of these equations of the extended Volterra lattice hierarchy.
KeywordVolterra lattice hierarchy Hankel determinant orthogonal polynomials Hirota bilinearization non-isospectral
DOI10.1088/1361-6544/aacd63
Language英语
Funding ProjectSino-German (CSC-DAAD) Postdoc Scholarship Program 2016[57251553] ; German Academic Exchange Service (DAAD): Research Grants-Short-Term Grants 2018[57378443] ; National Natural Science Foundation of China[11331008] ; National Natural Science Foundation of China[11571358]
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000441191000002
PublisherIOP PUBLISHING LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30816
Collection计算数学与科学工程计算研究所
Affiliation1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
2.Max Planck Inst Dynam & Self Org, Gottingen, Germany
3.Chinese Acad Sci, AMSS, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
5.Georg August Univ, Inst Nonlinear Dynam, Friedrich Hund Pl 1, D-37077 Gottingen, Germany
Recommended Citation
GB/T 7714
Chen, Xiao-Min,Hu, Xing-Biao,Mueller-Hoissen, Folkert. Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants[J]. NONLINEARITY,2018,31(9):4393-4422.
APA Chen, Xiao-Min,Hu, Xing-Biao,&Mueller-Hoissen, Folkert.(2018).Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants.NONLINEARITY,31(9),4393-4422.
MLA Chen, Xiao-Min,et al."Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants".NONLINEARITY 31.9(2018):4393-4422.
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