Symmetry, Integrability and Geometry: Methods and Applications
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


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 050, 24 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.050 (Mi sigma915) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Geometric Aspects of the Painlevé Equations $\mathrm{PIII(D_6)}$ and $\mathrm{PIII(D_7)}$

Marius van der Put, Jaap Top

Johann Bernoulli Institute, University of Groningen, P.O. Box 407, 9700 AK Groningen, The Netherlands
Full-text PDF (515 kB) Citations (21)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2014.050
Abstract: The Riemann–Hilbert approach for the equations $\mathrm{PIII(D_6)}$ and $\mathrm{PIII(D_7)}$ is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto–Painlevé varieties, the Painlevé property, special solutions and explicit Bäcklund transformations.
Keywords: moduli space for linear connections; irregular singularities; Stokes matrices; monodromy spaces; isomonodromic deformations; Painlevé equations.
Received: October 15, 2013; in final form April 10, 2014; Published online April 23, 2014
Bibliographic databases:
Document Type: Article
MSC: 14D20; 14D22; 34M55
Language: English
Citation: Marius van der Put, Jaap Top, “Geometric Aspects of the Painlevé Equations $\mathrm{PIII(D_6)}$ and $\mathrm{PIII(D_7)}$”, SIGMA, 10 (2014), 050, 24 pp.
Citation in format AMSBIB
\Bibitem{VanTop14}
\by Marius~van der Put, Jaap~Top
\paper Geometric Aspects of the Painlev\'e Equations $\mathrm{PIII(D_6)}$ and $\mathrm{PIII(D_7)}$
\jour SIGMA
\yr 2014
\vol 10
\papernumber 050
\totalpages 24
\mathnet{http://mi.mathnet.ru/sigma915}
\crossref{https://doi.org/10.3842/SIGMA.2014.050}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3210585}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000334736000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899659473}
Linking options:
  • https://www.mathnet.ru/eng/sigma915
  • https://www.mathnet.ru/eng/sigma/v10/p50
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:166
    Full-text PDF :59
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024