The sixth Painleve equation as similarity reduction of gl_3 hierarchy

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dc.creatorKakei, Saburo
dc.creatorKikuchi, Tetsuya
dc.date2005-08-15
dc.date2005-08-16
dc.date.accessioned2026-07-07T05:36:37Z
dc.date.available2026-07-07T05:36:37Z
dc.descriptionScaling symmetry of gl_n-type Drinfel'd-Sokolov hierarchy is investigated. Applying similarity reduction to the hierarchy, one can obtain the Schlesinger equation with (n+1) regular singularities. Especially in the case of n=3, the hierarchy contains the three-wave resonant system and the similarity reduction gives the generic case of the Painleve VI equation. We also discuss Weyl group symmetry of the hierarchy.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/nlin/0508021
dc.identifierhttp://arxiv.org/abs/nlin/0508021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81051
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe sixth Painleve equation as similarity reduction of gl_3 hierarchy
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