The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI
Henrik Aratyn, Johan van de LEUR (2005)
Annales de l’institut Fourier
Similarity:
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...