108 citations · 1.2k across the 108 of their papers we have counts for
8 papers · 1 filter
Thirring Model with Jump Defect
A. R. Aguirre, J. F. Gomes, L. H. Ymai +1
The purpose of our work is to extend the formulation of classical affine Toda Models in the presence of jump defects to pure fermionic Thirring model. As a first attempt we constru…
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 Transformations for N=2 Supersymmetric Sine-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 and to generate a class of solutions for the N=2 super sine-Gordon mod…
Negative Even Grade mKdV Hierarchy and its Soliton Solutions
J. F. Gomes, G. Starvaggi Franca, G. R. de Melo +1
In this paper we provide an algebraic construction for the negative even mKdV hierarchy which gives rise to time evolutions associated to even graded Lie algebraic structure. We pr…
Darboux-Backlund Derivation of Rational Solutions of the Painleve IV Equation
H. Aratyn, J. F. Gomes, A. H. Zimerman
Rational solutions of the Painleve IV equation are constructed in the setting of pseudo-differential Lax formalism describing AKNS hierarchy subject to the additional non-isospectr…
A Class of Mixed Integrable Models
J. F. Gomes, G. R. de Melo, A. H. Zimerman
The algebraic structure of the integrable mixed mKdV/sinh-Gordon model is discussed and \textit{}extended to the AKNS/Lund-Regge model and to its corresponding supersymmetric versi…