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, 2010, Volume 6, 018, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.018 (Mi sigma475) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Integrability of New Two-Component KdV Equation

Ziemowit Popowicz

Institute for Theoretical Physics, University of Wroclaw, Wroclaw 50204, Poland
Full-text PDF (241 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2010.018
Abstract: We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and rediscovered by Sakovich and Foursov. Connection of this equation with the supersymmetric Kadomtsev–Petviashvilli–Radul–Manin hierarchy is presented. For this new supersymmetric equation the Lax representation and odd Hamiltonian structure is given.
Keywords: KdV equation; Lax representation; integrability; supersymmetry.
Received: October 19, 2009; in final form February 4, 2010; Published online February 12, 2010
Bibliographic databases:
Document Type: Article
MSC: 35J05; 81Q60
Language: English
Citation: Ziemowit Popowicz, “The Integrability of New Two-Component KdV Equation”, SIGMA, 6 (2010), 018, 10 pp.
Citation in format AMSBIB
\Bibitem{Pop10}
\by Ziemowit Popowicz
\paper The Integrability of New Two-Component KdV Equation
\jour SIGMA
\yr 2010
\vol 6
\papernumber 018
\totalpages 10
\mathnet{http://mi.mathnet.ru/sigma475}
\crossref{https://doi.org/10.3842/SIGMA.2010.018}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2593364}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000274771200013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896062432}
Linking options:
  • https://www.mathnet.ru/eng/sigma475
  • https://www.mathnet.ru/eng/sigma/v6/p18
    • 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
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:243
    Full-text PDF :65
    References:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024