64 citations · 945 across the 94 of their papers we have counts for
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Defects in the supersymmetric mKdV hierarchy via Backlund transformations
A. R. Aguirre, A. L. Retore, J. F. Gomes +2
The integrability of the supersymmetric modified Korteweg de-Vries (smKdV) hierarchy in the presence of defects is investigated through the construction of its super B…
An alternative construction for the Type-II defect matrix for sshG
A. R. Aguirre, J. F. Gomes, A. L. Retore +2
In this paper we construct a Type-II defect (super) matrix for the supersymmetric sinh-Gordon model as a product of two Type-I defect (super) matrices. We also show that the result…
Fusing defect for the N=2 super sinh-Gordon model
N. I. Spano, A. R. Aguirre, J. F. Gomes +1
In this paper we derive the type-II integrable defect for the N = 2 supersymmetric sinh-Gordon (sshG) model by using the fusing procedure. In particular, we show explicitly the con…
Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
A. R. Aguirre, J. F. Gomes, N. I. Spano +1
A new super-Backlund transformation for the N=1 supersymmetric sinh-Gordon equation is constructed. Based on this construction we propose a type-II integrable defect for the supers…
On the symmetric formulation of the Painleve IV equation
H. Aratyn, J. F. Gomes, A. H. Zimerman
Symmetries and solutions of the Painleve IV equation are presented in an alternative framework which provides the bridge between the Hamiltonian formalism and the symmetric Painlev…
Permutability of Backlund Transformation for N=1 Supersymmetric Sinh-Gordon
J. F. Gomes, L. H. Ymai, A. H. Zimerman
The permutability of two Backlund transformations is employed to construct a non linear superposition formula to generate a class of solutions for the N=1 super sinh-Gordon model.
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…
Darboux-Egoroff Metrics, Rational Landau-Ginzburg Potentials and the Painleve VI Equation
H. Aratyn, J. F. Gomes, A. H. Zimerman
We present a class of three-dimensional integrable structures associated with the Darboux-Egoroff metric and classical Euler equations of free rotations of a rigid body. They are o…
Riccati-type equations, generalised WZNW equations, and multidimensional Toda systems
L. A. Ferreira, J. F. Gomes, A. V. Razumov +2
We associate to an arbitrary -gradation of the Lie algebra of a Lie group a system of Riccati-type first order differential equations. The particular cases under conside…