# Open Problems for Painlev\'e Equations

## TL;DR

This paper discusses open problems related to Painlevé equations, including equivalence, notation, numerical solutions, and classification of properties, aiming to guide future research in understanding these complex nonlinear differential equations.

## Contribution

It identifies and describes key open problems in the study of Painlevé equations, highlighting areas needing further investigation.

## Key findings

- Identification of the Painlevé equivalence problem
- Discussion on notation for solutions
- Overview of numerical solution challenges

## 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.