Higher-order generalizations of the $A_6^{(1)}$- and $A_4^{(1)}$-surface type $q$-Painlev\'e equations

Autor:	Nakazono, Nobutaka
Rok vydání:	2023
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	In this paper, we construct higher-order generalizations of the $A_6^{(1)}$- and $A_4^{(1)}$-surface type $q$-Painlev\'e equations from the system of partial difference equations with the consistency around a cube property by periodic reduction. Moreover, we also show their extended affine Weyl group symmetries and Lax pairs. Comment: 25 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.03467 Zobrazit plný text záznamu View this record from Arxiv