2015/10/24 by Giorgio Gubbiotti, Gubbiotti, Giorgio, Christian Scimiterna +4
Chemistry · Mathematics · Physics and Astronomy · #37K10 #39-XX #70G65 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.MP #msc:37K10 #msc:39-XX #msc:70G65 #nlin.SI
paper · pdf · doi:10.48550/arxiv.1510.07175
arxiv created 2015/10/24 · openalex publication_date 2015/10/24 · arxiv updated 2015/10/27 · openalex created_date 2022/10/07 · openalex updated_date 2026/07/28
In this paper we study the integrability of a class of nonlinear non autonomous quad graph equations compatible around the cube introduced by Boll. We show that all these equations possess three point generalized symmetries which are subcases of either the Yamilov discretization of the Krichever--Novikov equation or of its non autonomous extension. We also prove that all those symmetries are integrable as pass the algebraic entropy test.