Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Subscription
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, 2002, Volume 131, Number 1, Pages 118–125
DOI: https://doi.org/10.4213/tmf318 (Mi tmf318) 		 
This article is cited in 40 scientific papers (total in 40 papers)

Lax Pairs for the Deformed Kowalevski and Goryachev–Chaplygin Tops

V. V. Sokolova, A. V. Tsiganovb

a Landau Institute for Theoretical Physics, Centre for Non-linear Studies
b St. Petersburg State University, Faculty of Physics
Full-text PDF (200 kB) Citations (40) English version article
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf318
Abstract: We consider a quadratic deformation of the Kowalevski top. This deformation includes a new integrable case for the Kirchhoff equations recently found by one of the authors as a degeneration. A $5\times 5$ matrix Lax pair for the deformed Kowalevski top is proposed. We also find similar deformations of the two-field Kowalevski gyrostat and the $so(p,q)$ Kowalevski top. All our Lax pairs are deformations of the corresponding Lax representations found by Reyman and Semenov–Tian-Shansky. A similar deformation of the Goryachev–Chaplygin top and its $3\times 3$ matrix Lax representation is also constructed.
Received: 19.11.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 1, Pages 543–549
DOI: https://doi.org/10.1023/A:1015109904417
Bibliographic databases:
Language: Russian
Citation: V. V. Sokolov, A. V. Tsiganov, “Lax Pairs for the Deformed Kowalevski and Goryachev–Chaplygin Tops”, TMF, 131:1 (2002), 118–125; Theoret. and Math. Phys., 131:1 (2002), 543–549
Citation in format AMSBIB
\Bibitem{SokTsi02}
\by V.~V.~Sokolov, A.~V.~Tsiganov
\paper Lax Pairs for the Deformed Kowalevski and Goryachev--Chaplygin Tops
\jour TMF
\yr 2002
\vol 131
\issue 1
\pages 118--125
\mathnet{http://mi.mathnet.ru/tmf318}
\crossref{https://doi.org/10.4213/tmf318}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1931058}
\zmath{https://zbmath.org/?q=an:1051.70002}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 131
\issue 1
\pages 543--549
\crossref{https://doi.org/10.1023/A:1015109904417}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000175678000010}
Linking options:
  • https://www.mathnet.ru/eng/tmf318
  • https://doi.org/10.4213/tmf318
  • https://www.mathnet.ru/eng/tmf/v131/i1/p118
    • This publication is cited in the following 40 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:911
    Full-text PDF :387
    References:140
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2026