Comment on "Higher order Painlev\'e equations and their symmetries via reductions of a class of integrable models"

TL;DR

This paper critically compares previous research on higher order Painlevé equations derived from integrable models, highlighting similarities and differences in their findings and methodologies.

Contribution

It provides an analytical comparison of two sets of results on Painlevé equations and their symmetries, clarifying the relationships between different approaches.

Findings

Identifies key similarities between the two research results.

Highlights differences in methodologies and conclusions.

Provides insights into the structure of higher order Painlevé equations.

Abstract

We compare the results of our two papers with the results of the paper Aratyn H., Gomes J.F., Zimerman A.H., Higher order Painlev\'e equations and their symmetries via reductions of a class of integrable models, J. Phys. A: Math. Theor., V. 44} (2011), Art. No. 235202.