New Coalescences for the Painlev\'e Equations
Exactly Solvable and Integrable Systems
2021-03-05 v1 Classical Analysis and ODEs
Abstract
The Painlev\'e equations are here connected to other classes of equations with the Painlev\'e Property (Ince's equations) by the same degeneracy procedure that connects the Painlev\'e equations (coalescence). These Ince's equations here are also connected among themselves like in the traditional Painlev\'e's coalescence cascade. Such degeneracy is considered also for the special equations, symmetric equations and B\"acklund transformations.
Cite
@article{arxiv.2103.02697,
title = {New Coalescences for the Painlev\'e Equations},
author = {V. C. C. Alves},
journal= {arXiv preprint arXiv:2103.02697},
year = {2021}
}