In a recent paper [TMP, 200:1 (2019), 966--984] by the authors, a series of integrable discrete autonomous equations on a square lattice with a non-standard structure of generalized symmetries is constructed. We build modified series by using discrete non-point transformations. We use both non-invertible linearizable transformations and non-point transformations invertible on solutions of the discrete equation. As a result, we get several series of new examples of discrete equations along with their generalized symmetries and master symmetries. The generalized symmetries constructed give new integrable examples of five- and seven-point differential-difference equations together with their master symmetries. In the case of discrete equations, the method of constructing non-invertible linearizable transformations by using conservation laws is considered, apparently, for the first time.

中文翻译：

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具有非标准对称结构的二次点阵上的修正系列可积离散方程

在作者最近的一篇论文 [TMP, 200:1 (2019), 966--984] 中，在具有非标准广义对称结构的方格上构造了一系列可积离散自治方程。我们通过使用离散的非点变换来构建修改后的序列。我们在离散方程的解上使用不可逆的线性化变换和可逆的非点变换。结果，我们得到了离散方程的几个新例子以及它们的广义对称性和主对称性。所构造的广义对称性给出了五点和七点微分差分方程及其主要对称性的新可积示例。在离散方程的情况下，