On Transformations in the Painlevé Family

Abstract

In this paper we show that generic Painlevé equations from different families are orthogonal. In particular, this means that there are no general Backlund transformations between Painlevé equations from the different families $P_I-P_{VI}$ .

References in corpus (3)

• On algebraic relations between solutions of a generic Painleve equation
• On the algebraic independence of generic Painleve transcendents
• Geometric Triviality of the Strongly Minimal Second Painlevé equations

Cited by in corpus (1)

• Solutions of Mixed Painlevé P${}_{\mathbf{III}-\mathbf{V}}$ Model