4 citations · 10 across the 5 of their papers we have counts for
10 papers
N=2 and N=4 Supersymmetric mKdV and sinh-Gordon Hierarchies
H. Aratyn, J. F. Gomes, L. H. Ymai +1
Integrable models with higher N=2 and N=4 supersymmetries are formulated on reductions of twisted loop superalgebras and endowed with principal gra…
Algebraic construction of integrable and super integrable hierarchies
H. Aratyn, J. F. Gomes, A. H. Zimerman
A general construction of integrable hierarchies based on affine Lie algebras is presented. The models are specified according to some algebraic data and their time evolution is ob…
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…
Symmetry Flows, Conservation Laws and Dressing Approach to the Integrable Models
H. Aratyn, J. F. Gomes, E. Nissimov +2
The graded affine Lie algebras provide a framework in which the dressing method is applied to the generic type of integrable models. The dressing formalism is used to develop a uni…