3 citations · 3 across the 3 of their papers we have counts for
6 papers
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…
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.
WDVV Equations, Darboux-Egoroff Metric and the Dressing Method
H. Aratyn, J. F. Gomes, J. W. van de Leur +1
Dressing technique is used to construct commuting Lax operators which provide an integrable (canonical) structure behind Witten--Dijkgraaf--Verlinde--Verlinde equations. The commut…
Twisted Toroidal Lie Algebras
Johan van de Leur
Using finite order automorphisms on a simple complex Lie algebra we construct twisted -toroidal Lie algebras. Thus obtaining Lie algebras wich have a rootspace decomposition…
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…
The --TH Reduced BKP Hierarchy, the String Equation and --Constraints
Johan Van De Leur
We study the BKP hierarchy and its --reduction, for the case that is odd. This is related to the principal realization of the basic module of the twisted affine Lie algebra…