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 159, Number 3, Pages 502–514
DOI: https://doi.org/10.4213/tmf6368 (Mi tmf6368) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Continuous-discrete integrable equations and Darboux transformations as deformations of associative algebras

B. G. Konopelchenko

Università del Salento
Full-text PDF (406 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6368
Abstract: We define and study deformations of the structure constants for a certain class of associative noncommutative algebras generated by deformation-driving algebras (DDAs). These deformations are governed by the central system (CS). We study such a CS in the case where the DDA is the algebra of shifts. We present concrete examples of deformations for the three-dimensional algebra governed by discrete and mixed continuous-discrete Boussinesq (BSQ) and WDVV equations. We show that the theory of Darboux transformations is completely incorporated into the proposed scheme of deformations, at least in the BSQ case.
Keywords: associative algebra, deformation, integrable system.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 3, Pages 842–852
DOI: https://doi.org/10.1007/s11232-009-0072-9
Bibliographic databases:
Language: Russian
Citation: B. G. Konopelchenko, “Continuous-discrete integrable equations and Darboux transformations as deformations of associative algebras”, TMF, 159:3 (2009), 502–514; Theoret. and Math. Phys., 159:3 (2009), 842–852
Citation in format AMSBIB
\Bibitem{Kon09}
\by B.~G.~Konopelchenko
\paper Continuous-discrete integrable equations and Darboux transformations as deformations of associative algebras
\jour TMF
\yr 2009
\vol 159
\issue 3
\pages 502--514
\mathnet{http://mi.mathnet.ru/tmf6368}
\crossref{https://doi.org/10.4213/tmf6368}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2568567}
\zmath{https://zbmath.org/?q=an:1175.81128}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009TMP...159..842K}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 159
\issue 3
\pages 842--852
\crossref{https://doi.org/10.1007/s11232-009-0072-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000269118800017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350015226}
Linking options:
  • https://www.mathnet.ru/eng/tmf6368
  • https://doi.org/10.4213/tmf6368
  • https://www.mathnet.ru/eng/tmf/v159/i3/p502
    • This publication is cited in the following 3 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 :205
    References:54
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024