64 citations · 945 across the 94 of their papers we have counts for
94 papers
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…
On Hamiltonian Formalism for Dressing Chain Equations of Even Periodicity
H. Aratyn, J. F. Gomes, A. H. Zimerman
We propose a Hamiltonian formalism for periodic dressing chain with the even number . The formalism is based on Dirac reduction applied to the periodic dressing chain…
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…
Gauge Symmetry Origin of Bäcklund Transformations for Painlevé Equations
V. C. C. Alves, H. Aratyn, J. F. Gomes +1
We identify the self-similarity limit of the second flow of mKdV hierarchy with the periodic dressing chain thus establishing % a connection to invariant Pa…