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, 2012, Volume 173, Number 3, Pages 363–374
DOI: https://doi.org/10.4213/tmf8350
(Mi tmf8350)
 

This article is cited in 20 scientific papers (total in 20 papers)

An integrable multicomponent quad-equation and its Lagrangian formulation

J. Atkinsona, S. B. Lobbb, F. W. Nijhoffc

a University of Sydney, Sydney, Australia
b La Trobe University, Melbourne, Australia
c University of Leeds, Leeds, UK
References:
Abstract: We present a hierarchy of discrete systems whose first members are the lattice modified Korteweg–de Vries equation and the lattice modified Boussinesq equation. The $N$th member in the hierarchy is an $N$-component system defined on an elementary plaquette in the two-dimensional lattice. The system is multidimensionally consistent, and we obtain a Lagrangian that respects this feature, i.e., has the desirable closure property.
Keywords: integrable system, discrete equation, reduction, Lagrange formulation, variational principle.
Received: 25.04.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 173, Issue 3, Pages 1644–1653
DOI: https://doi.org/10.1007/s11232-012-0138-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: J. Atkinson, S. B. Lobb, F. W. Nijhoff, “An integrable multicomponent quad-equation and its Lagrangian formulation”, TMF, 173:3 (2012), 363–374; Theoret. and Math. Phys., 173:3 (2012), 1644–1653
Citation in format AMSBIB
\Bibitem{AtkLobNij12}
\by J.~Atkinson, S.~B.~Lobb, F.~W.~Nijhoff
\paper An integrable multicomponent quad-equation and its Lagrangian formulation
\jour TMF
\yr 2012
\vol 173
\issue 3
\pages 363--374
\mathnet{http://mi.mathnet.ru/tmf8350}
\crossref{https://doi.org/10.4213/tmf8350}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2001549}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...173.1644A}
\elib{https://elibrary.ru/item.asp?id=20732553}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 173
\issue 3
\pages 1644--1653
\crossref{https://doi.org/10.1007/s11232-012-0138-y}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000313498800002}
\elib{https://elibrary.ru/item.asp?id=20577946}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872360398}
Linking options:
  • https://www.mathnet.ru/eng/tmf8350
  • https://doi.org/10.4213/tmf8350
  • https://www.mathnet.ru/eng/tmf/v173/i3/p363
  • This publication is cited in the following 20 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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024