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, 2001, Volume 129, Number 2, Pages 163–183
DOI: https://doi.org/10.4213/tmf528 (Mi tmf528) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Lagrangian Chains and Canonical Bäcklund Transformations

V. E. Adlera, V. G. Marikhinb, A. B. Shabatb

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (304 kB) Citations (23)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf528
Abstract: We consider Darboux transformations for operators of arbitrary order and construct the general theory of Bäcklund transformations based on the Lagrangian formalism. The dressing chain for the Boussinesq equation and its reduction are demonstrative examples for the suggested general theory. We also discuss the well-known Bäcklund transformations for classical soliton equations.
Received: 06.06.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 2, Pages 1448–1465
DOI: https://doi.org/10.1023/A:1012858820688
Bibliographic databases:
Language: Russian
Citation: V. E. Adler, V. G. Marikhin, A. B. Shabat, “Lagrangian Chains and Canonical Bäcklund Transformations”, TMF, 129:2 (2001), 163–183; Theoret. and Math. Phys., 129:2 (2001), 1448–1465
Citation in format AMSBIB
\Bibitem{AdlMarSha01}
\by V.~E.~Adler, V.~G.~Marikhin, A.~B.~Shabat
\paper Lagrangian Chains and Canonical B\"acklund Transformations
\jour TMF
\yr 2001
\vol 129
\issue 2
\pages 163--183
\mathnet{http://mi.mathnet.ru/tmf528}
\crossref{https://doi.org/10.4213/tmf528}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1904792}
\zmath{https://zbmath.org/?q=an:1029.37042}
\elib{https://elibrary.ru/item.asp?id=13374268}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 129
\issue 2
\pages 1448--1465
\crossref{https://doi.org/10.1023/A:1012858820688}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173055900001}
Linking options:
  • https://www.mathnet.ru/eng/tmf528
  • https://doi.org/10.4213/tmf528
  • https://www.mathnet.ru/eng/tmf/v129/i2/p163
    • This publication is cited in the following 23 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:732
    Full-text PDF :329
    References:80
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024