108 citations · 1.1k across the 73 of their papers we have counts for
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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…
Compatible Poisson Structures of Toda Type Discrete Hierarchy
H. Aratyn, K. Bering
An algebra isomorphism between algebras of matrices and difference operators is used to investigate the discrete integrable hierarchy. We find local and non-local families of R-mat…