Extended Symmetry of Higher Painlevé Equations of Even Periodicity and Their Rational Solutions

The structure of the extended affine Weyl symmetry group of higher Painlevé equations of <i>N</i> periodicity depends on whether <i>N</i> is even or odd. We find that for even <i>N</i>, the symmetry group <inline-formula><math xmlns="http://www.w3.or...

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Bibliographic Details

Published in:	Mathematics
Main Authors:	Henrik Aratyn, José Francisco Gomes, Gabriel Vieira Lobo, Abraham Hirsz Zimerman
Format:	Article
Language:	English
Published:	MDPI AG 2024-11-01
Subjects:	Painlevé equations affine Weyl symmetries Bäcklund transformations dressing chain equations Kummer polynomials
Online Access:	https://www.mdpi.com/2227-7390/12/23/3701