12 citations · 23 across the 7 of their papers we have counts for
4 papers · 1 filter
A Class of Soliton Solutions for the N=2 Super mKdV/Sinh-Gordon Hierarchy
H. Aratyn, J. F. Gomes, L. H. Ymai +1
Employing the Hirota's method, a class of soliton solutions for the N=2 super mKdV equations is proposed in terms of a single Grassmann parameter. Such solutions are shown to satis…
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.
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…