11 citations · 15 across the 9 of their papers we have counts for
9 papers
Volterra-Bogoyavlensky lattices and solutions of invariant Painlevé equations
Y. F. Adans, H. Aratyn, J. F. Gomes +1
The objective of this work is to develop a framework that exploits the lattice structure of the -th Volterra--Bogoyavlensky equations (, ) to generate ration…
New soliton solutions for Chen-Lee-Liu and Burgers hierarchies and its Bäcklund transformations
Y. F. Adans, H. Aratyn, C. P. Constantinidis +3
Positive and negative flows of the Chen-Lee-Liu model and its various reductions, including Burgers hierarchy, are formulated within the framework of Riemann-Hilbert-Birkhoff decom…
On deforming and breaking integrability
Ysla F. Adans, Marius de Leeuw, Tristan McLoughlin
In this paper we study nearest-neighbour deformations of integrable models. After expanding in the deformation parameter, we identify four possible types of deformations. First the…
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…
Complex KdV rogue waves from gauge-Miura transformation
Ysla F. Adans, Guilherme França, José F. Gomes +2
The gauge-Miura correspondence establishes a map between the entire KdV and mKdV hierarchies, including positive and also negative flows, from which new relations besides the stand…
Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations
Ysla F. Adans, Guilherme França, José F. Gomes +2
The KdV hierarchy is a paradigmatic example of the rich mathematical structure underlying integrable systems and has far-reaching connections in several areas of theoretical physic…
Twisted Affine Integrable Hierarchies and Soliton Solutions
Y. F. Adans, J. F. Gomes, G. V. Lobo +1
A systematic construction of a class of integrable hierarchy is discussed in terms of the twisted affine Lie algebra. The zero curvature representation of the time e…