English

On Transformations in the Painlev\'e Family

Algebraic Geometry 2017-08-16 v1 Logic

Abstract

In this paper we show that generic Painlev\'e equations from different families are orthogonal. In particular, this means that there are no general Backlund transformations between Painlev\'e equations from the different families PIPVIP_I-P_{VI} .

Cite

@article{arxiv.1502.01389,
  title  = {On Transformations in the Painlev\'e Family},
  author = {Joel Nagloo},
  journal= {arXiv preprint arXiv:1502.01389},
  year   = {2017}
}
R2 v1 2026-06-22T08:22:34.082Z