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nlin.SI2004
The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI
Henrik Aratyn, Johan van de Leur
Equivalence is established between a special class of Painleve VI equations parametrized by a conformal dimension , time dependent Euler top equations, isomonodromic deformation…
nlin.SI2003
The CKP hierarchy and the WDVV prepotential
Henrik Aratyn, Johan van de Leur
Using a multicomponent version of the CKP hierarchy we construct the prepotential of the WDVV equations.
nlin.SI2000
Twisted GL_n Loop Group Orbit and Solutions of the WDVV Equations
Johan van de Leur
We show that all (n-component) KP tau-functions, which are related to the twisted loop group of , give solutions of the Darboux-Egoroff system of PDE's. Using the Geometry of…