7 citations · 11 across the 6 of their papers we have counts for
6 papers
Classical solution for the linear sigma model
Danilo V. Ruy
In this paper, the linear sigma model is studied using a method for finding analytical solutions based on Padé approximants. Using the solutions of two and three traveling waves in…
A Symmetric System of Mixed Painleve III - V Equations and its Integrable Origin
H. Aratyn, J. F. Gomes, D. V. Ruy +1
A mixed symmetric Painleve III - V model which describes a hybrid of both equations is defined and obtained by successive self-similarity and Dirac Lagrange multiplier reductions f…
On the mKdV-Liouville hierarchy and its self-similarity reduction
Danilo V. Ruy
Integrable mixed models have been used as a generalization of traditional integrable models. However, a map from a traditional integrable model to a mixed integrable model is not w…
A method for solving nonlinear differential equations: an application to model
Danilo V. Ruy
Recently, it has been great interest in the development of methods for solving nonlinear differential equations directly. Here, it is shown an algorithm based on Padé approximants…
Rational solutions from Padé approximants for the generalized Hunter-Saxton equation
H. Aratyn, J. F. Gomes, D. V. Ruy +1
Exact rational solutions of the generalized Hunter-Saxton equation are obtained using Padé approximant approach for the traveling-wave and self-similarity reduction. A larger class…
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…