2 citations · 6 across the 4 of their papers we have counts for
6 papers
New Coalescences for the Painlevé Equations
V. C. C. Alves
The Painlevé equations are here connected to other classes of equations with the Painlevé Property (Ince's equations) by the same degeneracy procedure that connects the Painlevé eq…
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…
Coalescence, Deformation and Bäcklund Symmetries of Painlevé IV and II Equations
V. C. C. Alves, H. Aratyn, J. F. Gomes +1
We extend Painlevé IV model by adding quadratic terms to its Hamiltonian obtaining two classes of models (coalescence and deformation) that interpolate between Painlevé IV and II e…
Symmetries and hamiltonians of Ince's XXXVIII and XLIX equations
V. C. C. Alves, H. Aratyn, J. F. Gomes +1
We discuss symmetries of Hamiltonians of I and I equations that appear on Ince's list of fifty second-order differential equations with Painlevé property. This study…
On special limits of the Mixed Painlevé P Model
V C C Alves, H Aratyn, J F Gomes +1
The paper discusses P equation for special values of its parameters for which this equation reduces to P, I, as well as, to some special cases of I…
Solutions of Mixed Painlevé P Model
V. C. C. Alves, H. Aratyn, J. F. Gomes +1
We review the construction of the mixed Painlevé P system in terms of a 4-boson integrable model and discuss its symmetries. Such a mixed system consist of an hybrid diff…