Coupled Painlevé III systems with affine Weyl group symmetry of types $B_4^{(1)}$, $D_4^{(1)}$ and $D_5^{(2)}$

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dc.creatorSasano, Yusuke
dc.date2007-04-19
dc.date2007-05-10
dc.date.accessioned2026-07-07T08:00:10Z
dc.date.available2026-07-07T08:00:10Z
dc.descriptionWe find and study four kinds of a 4-parameter family of four-dimensional coupled Painlevé III systems with affine Weyl group symmetry of types $B_4^{(1)}$, $D_4^{(1)}$ and $D_5^{(2)}$. We also show that these systems are equivalent by an explicit birational and symplectic transformation, respectively.
dc.description13 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0704.2476
dc.identifierhttp://arxiv.org/abs/0704.2476
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128613
dc.subjectAlgebraic Geometry
dc.subject14E05; 20F55; 34M55
dc.titleCoupled Painlevé III systems with affine Weyl group symmetry of types $B_4^{(1)}$, $D_4^{(1)}$ and $D_5^{(2)}$
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