The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI

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dc.creatorAratyn, Henrik
dc.creatorvan de Leur, Johan
dc.date2004-06-18
dc.date.accessioned2026-07-07T05:35:38Z
dc.date.available2026-07-07T05:35:38Z
dc.descriptionEquivalence is established between a special class of Painleve VI equations parametrized by a conformal dimension $μ$, time dependent Euler top equations, isomonodromic deformations and three-dimensional Frobenius manifolds. The isomodromic tau function and solutions of the Euler top equations are explicitly constructed in terms of Wronskian solutions of the 2-vector 1-constrained symplectic Kadomtsev-Petviashvili (CKP) hierarchy by means of Grassmannian formulation. These Wronskian solutions give rational solutions of the Painleve VI equation for $μ=1,2,{...} $.
dc.description28 pages, lateX
dc.identifierhttps://arxiv.org/abs/nlin/0406038
dc.identifierhttp://arxiv.org/abs/nlin/0406038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80759
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleThe symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI
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