Ufa Mathematical Journal
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


Ufimsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Ufa Mathematical Journal, 2016, Volume 8, Issue 2, Pages 112–118
DOI: https://doi.org/10.13108/2016-8-2-112 (Mi ufa347) 		 
Recursion operator for a system with non-rational Lax representation

K. Zheltukhin

Department of Mathematics, Faculty of Science, Middle East Technical University, 06800 Ankara, Turkey
English version PDF (412 kB)
References:
PDF
HTML
DOI: https://doi.org/10.13108/2016-8-2-112
Abstract: We consider a hydrodynamic type system, waterbag model, that admits a dispersionless Lax representation with a logarithmic Lax function. Using the Lax representation, we construct a recursion operator of the system. We note that the constructed recursion operator is not compatible with the natural Hamiltonian representation of the system.
Keywords: recursion operator, hydrodynamic type systems, non-rational Lax representation.
Received: 08.12.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2016, Volume 8, Issue 2, Pages 114–120
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 17B80, 37K10, 37K30, 70H06
Language: English
Original paper language: English
Citation: K. Zheltukhin, “Recursion operator for a system with non-rational Lax representation”, Ufimsk. Mat. Zh., 8:2 (2016), 114–120; Ufa Math. J., 8:2 (2016), 112–118
Citation in format AMSBIB
\Bibitem{Zhe16}
\by K.~Zheltukhin
\paper Recursion operator for a~system with non-rational Lax representation
\jour Ufimsk. Mat. Zh.
\yr 2016
\vol 8
\issue 2
\pages 114--120
\mathnet{http://mi.mathnet.ru/ufa347}
\elib{https://elibrary.ru/item.asp?id=26255231}
\transl
\jour Ufa Math. J.
\yr 2016
\vol 8
\issue 2
\pages 112--118
\crossref{https://doi.org/10.13108/2016-8-2-112}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000411732200010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84994291352}
Linking options:
  • https://www.mathnet.ru/eng/ufa347
  • https://doi.org/10.13108/2016-8-2-112
  • https://www.mathnet.ru/eng/ufa/v8/i2/p114
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
    Statistics & downloads:
    Abstract page:168
    Russian version PDF:78
    English version PDF:7
    References:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024