28 citations · 35 across the 7 of their papers we have counts for
7 papers
Generalized Riemann-Hilbert-Birkhoff Decomposition and a New Class of Higher Grading Integrable Hierarchies
H. Aratyn, C. P. Constantinidis, J. F. Gomes +2
We propose a generalized Riemann-Hilbert-Birkhoff decomposition that expands the standard integrable hierarchy formalism in two fundamental ways: it allows for integer powers of La…
New negative grade solitonic sector for supersymmetric KdV and mKdV hierarchies
Y. F. Adans, A. R. Aguirre, J. F. Gomes +2
A systematic construction for supersymmetric negative graded (non-local) flows for mKdV and KdV based on with a principal gradation is proposed in this paper. We show tha…
SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations
Y. F. Adans, A. R. Aguirre, J. F. Gomes +2
The construction of Integrable Hierarchies in terms of zero curvature representation provides a systematic construction for a series of integrable non-linear evolution equations (f…
Comments on the negative grade KdV hierarchy
Y. F. Adans, Jose F. Gomes, G. V. Lobo +1
The construction of negative grade KdV hierarchy is proposed in terms of a Miura-gauge transformation. Such gauge transformation is employed within the zero curvature representatio…
Two-fold degeneracy of a class of rational Painlevé V solutions
H. Aratyn, J. F. Gomes, G. V. Lobo +1
We present a construction of a class of rational solutions of the Painlevé V equation that exhibit a two-fold degeneracy, meaning that there exist two distinct solutions that share…
On Rational Solutions of Dressing Chains of Even Periodicity
H. Aratyn, J. F. Gomes, G. V. Lobo +1
We develop a systematic approach to deriving rational solutions and obtaining classification of their parameters for dressing chains of even N periodicity or equivalently $A^{(1)}_…