Geodesic
Geometric Aspects of the Painlevé Equations $\mathrm{PIII(D_6)}$ and $\mathrm{PIII(D_7)}$
Symmetry, integrability and geometry: methods and applications, Tome 10 (2014) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Marius van der Put and Jaap Top},
     title = {Geometric {Aspects} of the {Painlev\'e} {Equations} $\mathrm{PIII(D_6)}$ and $\mathrm{PIII(D_7)}$},
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Marius van der Put; Jaap Top. Geometric Aspects of the Painlevé Equations $\mathrm{PIII(D_6)}$ and $\mathrm{PIII(D_7)}$. Symmetry, integrability and geometry: methods and applications, Tome 10 (2014). http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a49/

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