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, 2007, Volume 3, 080, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.080 (Mi sigma206) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Bäcklund Transformation for the BC-Type Toda Lattice

Vadim Kuznetsova, Evgeny Sklyaninb

a Deceased
b Department of Mathematics, University of York, York YO10 5DD, UK
Full-text PDF (295 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2007.080
Abstract: We study an integrable case of $n$-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformationand prove its basic properties: canonicity, commutativity and spectrality. The Bäcklund transformation can be also viewed as a discretized time dynamics. Two Lax matrices are used: of order 2 and of order $2n+2$, which are mutually dual, sharing the same spectral curve.
Keywords: Bäcklund transformation; Toda lattice; integrability; boundary conditions; classical Lie algebras.
Received: July 13, 2007; Published online July 25, 2007
Bibliographic databases:
Document Type: Article
MSC: 70H06
Language: English
Citation: Vadim Kuznetsov, Evgeny Sklyanin, “Bäcklund Transformation for the BC-Type Toda Lattice”, SIGMA, 3 (2007), 080, 17 pp.
Citation in format AMSBIB
\Bibitem{KuzSkl07}
\by Vadim Kuznetsov, Evgeny Sklyanin
\paper B\"acklund Transformation for the BC-Type Toda Lattice
\jour SIGMA
\yr 2007
\vol 3
\papernumber 080
\totalpages 17
\mathnet{http://mi.mathnet.ru/sigma206}
\crossref{https://doi.org/10.3842/SIGMA.2007.080}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2366942}
\zmath{https://zbmath.org/?q=an:1157.70012}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065200080}
Linking options:
  • https://www.mathnet.ru/eng/sigma206
  • https://www.mathnet.ru/eng/sigma/v3/p80
    • This publication is cited in the following 11 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:522
    Full-text PDF :69
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024