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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)
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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
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\totalpages 24
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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