Second-order second-degree Painlevé equations related with Painlevé I–VI equations and Fuchsian-type transformations

Second-order second-degree Painlevé equations related with Painlevé I–VI equations and Fuchsian-type transformations

One-to-one correspondence between the Painlevé I–VI equations and certain second-order second-degree equations of Painlevé type is investigated. The transformation between the Painlevé equations and second-order second-degree equations is the one involving the Fuchsian-type equation.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical physics 1999-07, Vol.40 (7), p.3569-3587
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:One-to-one correspondence between the Painlevé I–VI equations and certain second-order second-degree equations of Painlevé type is investigated. The transformation between the Painlevé equations and second-order second-degree equations is the one involving the Fuchsian-type equation.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.532909