Necessary Conditions for Point Equivalence of Second-Order Odes to the Sixth Painlevé Equation


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

We consider the equivalence problem for projective-type scalar second-order ordinary differential equations with respect to invertible point changes of variables. Invariants of the equivalence transformation group of this family of equations are used to find necessary conditions for equivalence to the sixth Painlevé equation.

About the authors

Yu. Yu. Bagderina

Institute of Mathematics, Ufa Federal Research Center

Author for correspondence.
Email: bagderinayu@yandex.ru
Russian Federation, Ufa

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature