9 citations · 18 across the 6 of their papers we have counts for
6 papers
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…
Why is my rational Painlevé V solution not unique?
H. Aratyn, J. F. Gomes, G. V. Lobo +1
Under special conditions the Painlevé V equation has more than one rational solution solving it with the same parameters. In the setting of formalism that identifies points on orbi…
Derivation of Painlevé type system with affine Weyl group symmetry in a self-similarity limit
H. Aratyn, J. F. Gomes, G. V. Lobo +1
We show how the zero-curvature equations based on a loop algebra of with a principal gradation reduce via self-similarity limit to a polynomial Hamiltonian system of coupled…
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…
Gauge Miura and Backlund Transformations for Generalized -KdV Hierarchies
J. M. de Carvalho Ferreira, J. F. Gomes, G. V. Lobo and. A. H. Zimerman
The construction of Miura and Bäcklund transformations for mKdV and KdV hierarchies are presented in terms of gauge transformations acting upon the zero curvature representat…
Generalized Backlund transformations for Affine Toda Hierarchies
J. M. Carvalho Ferreira, J. F. Gomes, G. V. Lobo +1
The construction of generalized Backlund transformation for the Affine Toda hierarchy is proposed in terms of gauge transformation acting on the zero curvature representation…