English

Open Problems for Painlev\'e Equations

Classical Analysis and ODEs 2019-01-30 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

In this paper some open problems for Painlev\'e equations are discussed. In particular the following open problems are described: (i) the Painlev\'e equivalence problem; (ii) notation for solutions of the Painlev\'e equations; (iii) numerical solution of Painlev\'e equations; and (iv) the classification of properties of Painlev\'e equations.

Cite

@article{arxiv.1901.10122,
  title  = {Open Problems for Painlev\'e Equations},
  author = {Peter A. Clarkson},
  journal= {arXiv preprint arXiv:1901.10122},
  year   = {2019}
}