16 citations · 36 across the 4 of their papers we have counts for
4 papers
Zero Curvature and generalization of Painlevé equation from AKNS/Lund-Regge model
Danilo V. Ruy, Genilson R. de Melo
We explain the relation between the mixed mKdV/sinh-Gordon model and the Kudryashov's equation. Then, we use the mixed AKNS/Lund-Regge model to find a system of ODEs which is candi…
Nonautonomous mixed mKdV-sinh-Gordon hierarchy
J. F. Gomes, G. R. de Melo, L. H. Ymai +1
The construction of a nonautonomous mixed mKdV/sine-Gordon model is proposed by employing an infinite dimensional affine Lie algebraic structure within the zero curvature represent…
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…
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…