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arXiv · 1207.4023

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

Marius van der Put·Jaap Top
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Abstract

The Riemann-Hilbert approach for the equations ${\rm PIII(D_6)}$ and ${\rm PIII(D_7)}$ is studied in detail, involving moduli spaces for connections and monodromy data, Okamoto-Painlevé varieties, the Painlevé property, special solutions and explicit Bäcklund transformations.

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Marius van der Put, Jaap Top. 2014-04-23. Geometric Aspects of the Painlevé Equations ${\rm PIII(D_6)}$ and ${\rm PIII(D_7)}$. https://doi.org/10.3842/sigma.2014.050

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