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, 2009, Volume 161, Number 2, Pages 176–190
DOI: https://doi.org/10.4213/tmf6430 (Mi tmf6430) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Vector hyperbolic equations with higher symmetries

A. G. Meshkov

Orel State University for Technology, Orel, Russia
Full-text PDF (471 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6430
Abstract: We list eleven vector hyperbolic equations that have third-order symmetries with respect to both characteristics. This list exhausts the equations with at least one symmetry of a divergence form. We integrate four equations in the list explicitly, bring one to a linear form, and bring four more to nonlinear ordinary nonautonomous systems. We find the Bäcklund transformations for six equations.
Keywords: hyperbolic equation, higher symmetry, integral, Bäcklund transformation, exact integrability.
Received: 30.04.2008
Revised: 15.04.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 2, Pages 1471–1484
DOI: https://doi.org/10.1007/s11232-009-0134-z
Bibliographic databases:
Language: Russian
Citation: A. G. Meshkov, “Vector hyperbolic equations with higher symmetries”, TMF, 161:2 (2009), 176–190; Theoret. and Math. Phys., 161:2 (2009), 1471–1484
Citation in format AMSBIB
\Bibitem{Mes09}
\by A.~G.~Meshkov
\paper Vector hyperbolic equations with higher symmetries
\jour TMF
\yr 2009
\vol 161
\issue 2
\pages 176--190
\mathnet{http://mi.mathnet.ru/tmf6430}
\crossref{https://doi.org/10.4213/tmf6430}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2667344}
\zmath{https://zbmath.org/?q=an:1184.35016}
\elib{https://elibrary.ru/item.asp?id=15297223}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 161
\issue 2
\pages 1471--1484
\crossref{https://doi.org/10.1007/s11232-009-0134-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000272664400004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-71949126240}
Linking options:
  • https://www.mathnet.ru/eng/tmf6430
  • https://doi.org/10.4213/tmf6430
  • https://www.mathnet.ru/eng/tmf/v161/i2/p176
    • 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:418
    Full-text PDF :204
    References:65
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024