Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 3, Pages 53–62
DOI: https://doi.org/10.4213/faa2912 (Mi faa2912) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On (2+1)-Dimensional Hydrodynamic Type Systems Possessing a Pseudopotential with Movable Singularities

A. V. Odesskiiab, V. V. Sokolova

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b University of Manchester, Department of Mathematics
Full-text PDF (191 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa2912
Abstract: We consider a class of hydrodynamic type systems that have three independent and $N\ge 2$ dependent variables and possess a pseudopotential. It turns out that systems having a pseudopotential with movable singularities can be described by some functional equation. We find all solutions of this equation, which permits constructing interesting examples of integrable systems of hydrodynamic type for arbitrary $N$.
Keywords: integrable (2+1)-dimensional hydrodynamic type system, pseudopotential with movable singularities.
Received: 18.02.2007
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 3, Pages 205–212
DOI: https://doi.org/10.1007/s10688-008-0029-z
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. V. Odesskii, V. V. Sokolov, “On (2+1)-Dimensional Hydrodynamic Type Systems Possessing a Pseudopotential with Movable Singularities”, Funktsional. Anal. i Prilozhen., 42:3 (2008), 53–62; Funct. Anal. Appl., 42:3 (2008), 205–212
Citation in format AMSBIB
\Bibitem{OdeSok08}
\by A.~V.~Odesskii, V.~V.~Sokolov
\paper On (2+1)-Dimensional Hydrodynamic Type Systems Possessing a Pseudopotential with Movable Singularities
\jour Funktsional. Anal. i Prilozhen.
\yr 2008
\vol 42
\issue 3
\pages 53--62
\mathnet{http://mi.mathnet.ru/faa2912}
\crossref{https://doi.org/10.4213/faa2912}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2454476}
\zmath{https://zbmath.org/?q=an:1175.35028}
\elib{https://elibrary.ru/item.asp?id=11649388}
\transl
\jour Funct. Anal. Appl.
\yr 2008
\vol 42
\issue 3
\pages 205--212
\crossref{https://doi.org/10.1007/s10688-008-0029-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000259070800005}
\elib{https://elibrary.ru/item.asp?id=14820721}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-39349096241}
Linking options:
  • https://www.mathnet.ru/eng/faa2912
  • https://doi.org/10.4213/faa2912
  • https://www.mathnet.ru/eng/faa/v42/i3/p53
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:558
    Full-text PDF :198
    References:72
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024