Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 043, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.043 (Mi sigma71) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Quasigraded Lie Algebras and Modified Toda Field Equations

Taras V. Skrypnykab

a Bogolyubov Institute for Theoretical Physics, 14-b Metrologichna Str., Kyiv, 03143 Ukraine
b Institute of Mathematics, 3 Tereshchenkivs'ka Str., Kyiv-4, 01601 Ukraine
Full-text PDF (284 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2006.043
Abstract: We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in “principal” gradation and admit Kostant–Adler–Symes scheme. Using them we obtain new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras $\mathfrak g$.
Keywords: infinite-dimensional Lie algebras; soliton equations.
Received: October 31, 2005; in final form March 3, 2006; Published online April 16, 2006
Bibliographic databases:
Document Type: Article
MSC: 37K05; 37K30
Language: English
Citation: Taras V. Skrypnyk, “Quasigraded Lie Algebras and Modified Toda Field Equations”, SIGMA, 2 (2006), 043, 14 pp.
Citation in format AMSBIB
\Bibitem{Skr06}
\by Taras V.~Skrypnyk
\paper Quasigraded Lie Algebras and Modified Toda Field Equations
\jour SIGMA
\yr 2006
\vol 2
\papernumber 043
\totalpages 14
\mathnet{http://mi.mathnet.ru/sigma71}
\crossref{https://doi.org/10.3842/SIGMA.2006.043}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2217752}
\zmath{https://zbmath.org/?q=an:1128.37046}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065100042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889235623}
Linking options:
  • https://www.mathnet.ru/eng/sigma71
  • https://www.mathnet.ru/eng/sigma/v2/p43
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:277
    Full-text PDF :48
    References:50
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024