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, 2010, Volume 164, Number 2, Pages 207–213
DOI: https://doi.org/10.4213/tmf6534 (Mi tmf6534) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Integrable vector evolution equations admitting zeroth-order conserved densities

M. Yu. Balakhnev, A. G. Meshkov

Orel State University for Technology, Orel, Russia
Full-text PDF (373 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6534
Abstract: In the symmetry approach framework, we solve the problem of classifying third-order integrable vector evolution equations that have zeroth-order conserved densities. We obtain the complete list of nine equations of this form. Two equations in the list were previously unknown. We find auto-Bäcklund transformations for the new equations.
Keywords: canonical density, integrable evolution equation, Bäcklund transformation.
Received: 27.10.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 2, Pages 1002–1007
DOI: https://doi.org/10.1007/s11232-010-0080-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Yu. Balakhnev, A. G. Meshkov, “Integrable vector evolution equations admitting zeroth-order conserved densities”, TMF, 164:2 (2010), 207–213; Theoret. and Math. Phys., 164:2 (2010), 1002–1007
Citation in format AMSBIB
\Bibitem{BalMes10}
\by M.~Yu.~Balakhnev, A.~G.~Meshkov
\paper Integrable vector evolution equations admitting zeroth-order conserved densities
\jour TMF
\yr 2010
\vol 164
\issue 2
\pages 207--213
\mathnet{http://mi.mathnet.ru/tmf6534}
\crossref{https://doi.org/10.4213/tmf6534}
\zmath{https://zbmath.org/?q=an:1196.81122}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010TMP...164.1002B}
\transl
\jour Theoret. and Math. Phys.
\yr 2010
\vol 164
\issue 2
\pages 1002--1007
\crossref{https://doi.org/10.1007/s11232-010-0080-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000282705000003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77956450857}
Linking options:
  • https://www.mathnet.ru/eng/tmf6534
  • https://doi.org/10.4213/tmf6534
  • https://www.mathnet.ru/eng/tmf/v164/i2/p207
    • This publication is cited in the following 2 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:427
    Full-text PDF :174
    References:57
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024