Special Solutions of the Sixth Painleve Equation with Solvable Monodromy

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dc.creatorKaneko, Kazuo
dc.creatorOkumura, Shoji
dc.date2006-10-23
dc.date.accessioned2026-07-07T07:29:20Z
dc.date.available2026-07-07T07:29:20Z
dc.descriptionWe 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.
dc.description15 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0610673
dc.identifierhttp://arxiv.org/abs/math/0610673
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118063
dc.subjectClassical Analysis and ODEs
dc.subject34M55; 33E17
dc.titleSpecial Solutions of the Sixth Painleve Equation with Solvable Monodromy
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