标题： 代数熵、对称性和四边形方程在立方体上的相容性 显示英文标题

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

摘要： 我们讨论属于Boll四边形图方程分类中围绕立方体一致的非自治非线性偏差分方程。 我们展示如何从单元格上的相容方程出发，构造格子方程、其Bäcklund变换和Lax对。 通过进行代数熵计算，我们表明$H^4$梯形和$H^6$族是可线性化的，并在几个例子中展示如何有效地对其进行线性化。 显示英文摘要

摘要： 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.