Submission date: 4 February 2015

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}

Mathematics Subject Classification: 14H05, 34M55, 03C60, 14H70

Keywords and phrases:

Full text arXiv 1502.01389: pdf, ps.