KMS Of Academy of mathematics and systems sciences, CAS
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 | |
发表期刊 | NONLINEARITY |
ISSN | 0951-7715 |
卷号 | 31期号:9页码:4393-4422 |
摘要 | For 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. |
关键词 | Volterra lattice hierarchy Hankel determinant orthogonal polynomials Hirota bilinearization non-isospectral |
DOI | 10.1088/1361-6544/aacd63 |
语种 | 英语 |
资助项目 | Sino-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研究方向 | Mathematics ; Physics |
WOS类目 | Mathematics, Applied ; Physics, Mathematical |
WOS记录号 | WOS:000441191000002 |
出版者 | IOP PUBLISHING LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/30816 |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Chen, Xiao-Min |
作者单位 | 1.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 |
推荐引用方式 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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