Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 205, Number 1, Pages 102–123
DOI: https://doi.org/10.4213/tmf9826 (Mi tmf9826) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Virasoro symmetries of multicomponent Gelfand–Dickey systems

Ling  An, Chuanzhong Li

School of Mathematics and Statistics, Ningbo University, Ningbo, China
Full-text PDF (472 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9826
Abstract: We study the additional symmetries and $\tau$-functions of multicomponent Gelfand–Dickey hierarchies, which include classical integrable systems such as the multicomponent Korteweg–de Vries and Boussinesq hierarchies. Using various reductions, we derive B- and C-type multicomponent Gelfand–Dickey hierarchies. We show that not all flows of their additional symmetries survive. We find that the generators of the additional symmetries of the B- and C-type multicomponent Gelfand–Dickey hierarchies differ but the forms of their additional flows are the same.
Keywords: multicomponent Gelfand–Dickey hierarchy, additional symmetry, string equation, $\tau$-function, Virasoro constraint.
Funding agency Grant number
National Natural Science Foundation of China 12071237
K. C. Wong Magna Fund (Ningbo University)
The research of Chuanzhong Li is supported by the National Natural Science Foundation of China (Grant No. 12071237) and the K. C. Wong Magna Fund in Ningbo University.
Received: 22.09.2019
Revised: 17.03.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 205, Issue 1, Pages 1333–1352
DOI: https://doi.org/10.1134/S0040577920100074
Bibliographic databases:
Document Type: Article
PACS: 05.45.Yv, 02.30.Jr, 02.30.Ik
MSC: 37K05, 37K10
Language: Russian
Citation: Ling  An, Chuanzhong Li, “Virasoro symmetries of multicomponent Gelfand–Dickey systems”, TMF, 205:1 (2020), 102–123; Theoret. and Math. Phys., 205:1 (2020), 1333–1352
Citation in format AMSBIB
\Bibitem{AnLi20}
\by Ling~~An, Chuanzhong~Li
\paper Virasoro symmetries of multicomponent Gelfand--Dickey systems
\jour TMF
\yr 2020
\vol 205
\issue 1
\pages 102--123
\mathnet{http://mi.mathnet.ru/tmf9826}
\crossref{https://doi.org/10.4213/tmf9826}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2020TMP...205.1333A}
\elib{https://elibrary.ru/item.asp?id=45192521}
\transl
\jour Theoret. and Math. Phys.
\yr 2020
\vol 205
\issue 1
\pages 1333--1352
\crossref{https://doi.org/10.1134/S0040577920100074}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000584562700007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85094164706}
Linking options:
  • https://www.mathnet.ru/eng/tmf9826
  • https://doi.org/10.4213/tmf9826
  • https://www.mathnet.ru/eng/tmf/v205/i1/p102
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:213
    Full-text PDF :24
    References:51
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024