2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80759Equivalence 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,{...} $.28 pages, lateXExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryMathematical PhysicsAnalysis of PDEstext