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arXiv 2012-07-17 DOI 10.3842/SIGMA.2014.050 0 views

Geometric Aspects of the Painlevé Equations PIII(D₆) and PIII(D₇)

van der Put, Marius · Top, Jaap

Original · EN

The Riemann-Hilbert approach for the equations PIII(D₆) and PIII(D₇) 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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