Isomonodromy for the Degenerate Fifth Painlev e Equation
No hay miniatura disponible
Fecha
2017-05-09
Autores
Acosta-Humánez, Primitivo B.
Van Der Put, Marius
Top, Jaap
Título de la revista
ISSN de la revista
Título del volumen
Editor
Eusko Jaurlaritza Gobierno Vasco
Resumen
This is a sequel to papers by the last two authors making the Riemann{Hilbert
correspondence and isomonodromy explicit. For the degenerate fifth Painlev e equation, the
moduli spaces for connections and for monodromy are explicitly computed. It is proven
that the extended Riemann{Hilbert morphism is an isomorphism. As a consequence these
equations have the Painlev e property and the Okamoto{Painlev e space is identified with
a moduli space of connections. Using MAPLE computations, one obtains formulas for the
degenerate fifth Painlev e equation, for the B acklund transformations.
Descripción
Palabras clave
Moduli space for linear connections, Irregular singularities, Stokes matrices, Monodromy spaces, Isomonodromic deformations, Painlev´e equations