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Algebraic entropy, symmetries and linearization of quad equations consistent on the cube

Authors :
Decio Levi
Christian Scimiterna
Giorgio Gubbiotti
Gubbiotti, Giorgio
Scimiterna, Christian
Levi, Decio
Publication Year :
2016

Abstract

We discuss the non autonomous nonlinear partial difference equations belonging to Boll classification of quad graph equations consistent around the cube. We show how starting from the compatible equations on a cell we can construct the lattice equations, its B\"acklund transformations and Lax pairs. By carrying out the algebraic entropy calculations we show that the $H^4$ trapezoidal and the $H^6$ families are linearizable and in a few examples we show how we can effectively linearize them.

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....9bcf17f85e6e7df2bf293f16f915e0e7