Schlesinger transformations for Painlevé VI equation

Schlesinger transformations for Painlevé VI equation

A method to obtain the Schlesinger transformations for Painlevé VI equation is given. The procedure involves formulating a Riemann–Hilbert problem for a transformation matrix which transforms the solution of the linear problem but leaves the associated monodromy data the same.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical physics 1995-03, Vol.36 (3), p.1284-1298
Hauptverfasser: Muğan, U., Sakka, A.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A method to obtain the Schlesinger transformations for Painlevé VI equation is given. The procedure involves formulating a Riemann–Hilbert problem for a transformation matrix which transforms the solution of the linear problem but leaves the associated monodromy data the same.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.531121