Notizen: Bäcklund Transformation Groups of Non-Linear Evolution Equations and the Painlevé Property

Open Access

1 January 1983

journal article
Published by Walter de Gruyter GmbH in Zeitschrift für Naturforschung A

Vol. 38 (1) , 86-87
https://doi.org/10.1515/zna-1983-0116

Abstract

We show that the group theoretical reduction of evolution equations which admit Lie-Bäcklund transformation groups does not lead in general to ordinary differential equations with the Painlevé property.

Keywords

EVOLUTION
DIFFERENTIAL
TRANSFORMATION GROUPS
BÄCKLUND TRANSFORMATION
EQUATIONS
LIE
ORDINARY
THEORETICAL
ADMIT

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