Special Solutions of the Sixth Painleve Equation with Solvable Monodromy

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We will study two types of special solutions of the sixth Painleve equation, which are invariant under the symmetries obtained from the Backlund transformations. In most cases, the fixed points of the Backlund transformations are classical solution, but our solutions are not classical for generic parameters. We will calculate the linear monodromy of these solutions exactly, and we will characterize them on Fricke's cubic surface of monodromy.
15 pages, 6 figures

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Classical Analysis and ODEs, 34M55; 33E17

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http://salesiana.dossiersoluciones.com/handle/123456789/118063

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610673
 http://arxiv.org/abs/math/0610673

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arXiv