Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 4, Pages 13–25
DOI: https://doi.org/10.4213/faa3255 (Mi faa3255) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Integrable Möbius-invariant evolutionary lattices of second order

V. E. Adler

L.D. Landau Institute for Theoretical Physics, Chernogolovka, Russia
Full-text PDF (185 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa3255
Abstract: We solve the classification problem for integrable lattices of the form $u_{,t}=f(u_{-2},\dots,u_2)$ under the additional assumption of invariance with respect to the group of linear-fractional transformations. The obtained list contains five equations, including three new ones. Difference Miura-type substitutions are found, which relate these equations to known polynomial lattices. We also present some classification results for generic lattices.
Keywords: integrability, symmetry, conservation law, Möbius invariantm cross-ratio.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00289a
This work was supported by RFBR grant No. 16-01-00289a.
Received: 04.05.2016
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 4, Pages 257–267
DOI: https://doi.org/10.1007/s10688-016-0157-9
Bibliographic databases:
Document Type: Article
UDC: 517.929+517.957+517.958+517.962.24
Language: Russian
Citation: V. E. Adler, “Integrable Möbius-invariant evolutionary lattices of second order”, Funktsional. Anal. i Prilozhen., 50:4 (2016), 13–25; Funct. Anal. Appl., 50:4 (2016), 257–267
Citation in format AMSBIB
\Bibitem{Adl16}
\by V.~E.~Adler
\paper Integrable M\"obius-invariant evolutionary lattices of second order
\jour Funktsional. Anal. i Prilozhen.
\yr 2016
\vol 50
\issue 4
\pages 13--25
\mathnet{http://mi.mathnet.ru/faa3255}
\crossref{https://doi.org/10.4213/faa3255}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3646707}
\elib{https://elibrary.ru/item.asp?id=28119101}
\transl
\jour Funct. Anal. Appl.
\yr 2016
\vol 50
\issue 4
\pages 257--267
\crossref{https://doi.org/10.1007/s10688-016-0157-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000390093200002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85006339823}
Linking options:
  • https://www.mathnet.ru/eng/faa3255
  • https://doi.org/10.4213/faa3255
  • https://www.mathnet.ru/eng/faa/v50/i4/p13
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024