Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Subscription
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 202, Number 3, Pages 492–501
DOI: https://doi.org/10.4213/tmf9792 (Mi tmf9792) 		 
Integrable evolution systems of geometric type

V. V. Sokolovab

a Federal University of ABC, Santo André, Sao Paulo, Brazil
b Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
Full-text PDF (441 kB) English version article
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9792
Abstract: We present necessary conditions for the integrability of multicomponent third-order evolution systems of geometric type. For the considered examples, the affine connected space determining the system turns out to be symmetric in the case of zero torsion. In the case of the connection with nonzero torsion, the space is generated by a Bol loop.
Keywords: integrable system, symmetry, affine connected space.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0033-2019-0006
1.12873.2018/12.1
This research was supported in part by the Russian state assignment No. 0033-2019-0006 and the State Program of the Ministry of Education and Science of the Russian Federation (Project No. 1.12873.2018/12.1).
Received: 18.08.2019
Revised: 27.09.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 202, Issue 3, Pages 428–436
DOI: https://doi.org/10.1134/S0040577920030149
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Sokolov, “Integrable evolution systems of geometric type”, TMF, 202:3 (2020), 492–501; Theoret. and Math. Phys., 202:3 (2020), 428–436
Citation in format AMSBIB
\Bibitem{Sok20}
\by V.~V.~Sokolov
\paper Integrable evolution systems of geometric type
\jour TMF
\yr 2020
\vol 202
\issue 3
\pages 492--501
\mathnet{http://mi.mathnet.ru/tmf9792}
\crossref{https://doi.org/10.4213/tmf9792}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4070097}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2020TMP...202..428S}
\elib{https://elibrary.ru/item.asp?id=43260059}
\transl
\jour Theoret. and Math. Phys.
\yr 2020
\vol 202
\issue 3
\pages 428--436
\crossref{https://doi.org/10.1134/S0040577920030149}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000524228200014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85083057835}
Linking options:
  • https://www.mathnet.ru/eng/tmf9792
  • https://doi.org/10.4213/tmf9792
  • https://www.mathnet.ru/eng/tmf/v202/i3/p492
    • 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:447
    Full-text PDF :131
    References:72
    First page:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2026