Coupled Painlevé III systems with affine Weyl group symmetry of types $B_5^{(1)},D_5^{(1)}$ and $D_6^{(2)}$

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dc.creatorSasano, Yusuke
dc.date2007-04-19
dc.date.accessioned2026-07-07T07:57:18Z
dc.date.available2026-07-07T07:57:18Z
dc.descriptionWe find and study four kinds of five-parameter family of six-dimensional coupled Painlevé III systems with affine Weyl group symmetry of types $D_5^{(1)},B_5^{(1)}$ and $D_6^{(2)}$. We show that each system is equivalent by an explicit birational and symplectic transformation, respectively. We also show that we characterize each system from the viewpoint of holomorphy.
dc.description13 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0704.2467
dc.identifierhttp://arxiv.org/abs/0704.2467
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127598
dc.subjectAlgebraic Geometry
dc.subject34M55; 34M45
dc.titleCoupled Painlevé III systems with affine Weyl group symmetry of types $B_5^{(1)},D_5^{(1)}$ and $D_6^{(2)}$
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