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Equivalence is established between a special class of Painlevé VI equations parametrized
by a conformal dimension , time dependent Euler top equations, isomonodromic
deformations and three-dimensional Frobenius manifolds. The isomonodromic 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...
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