4 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 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…
Extended symmetry of higher Painlevé equations of even periodicity and their rational solutions
Henrik Aratyn, José Francisco Gomes, Gabriel Vieira Lobo +1
The structure of extended affine Weyl symmetry group of higher Painlevé equations of periodicity depends on whether is even or odd. We find that for even , the symmetry…
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…