立方体上相容四元方程的代数熵、对称性和线性化
Algebraic entropy, symmetries and linearization of quad equations consistent on the cube
摘要：
讨论了非自治的非线性偏差分方程，该方程属于Boll分类的围绕立方体相容的四图方程。我们展示了如何从一个细胞上的兼容方程，我们可以构建的晶格方程，其贝克隆变换和拉克斯对。通过进行代数熵计算，我们表明，$H^4$梯形和$H^6$家庭是线性化的，并在几个例子中，我们展示了我们如何可以有效地将它们线性化。
英文摘要：
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 Bäcklund 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
