This paper considers a generalized (2+1) dimensional nonlinear evolution equation depending on two nonzero arbitrary constants. We derive the Lie point symmetry generators and Lie symmetry groups. This symmetry analysis leads us the reductions equations, through one of which we obtain solutions. We also get the low-order conservation laws of the equation that have been obtained using the corresponding symmetries of the family. We will present a classification of conservation laws for this equation and we will apply Lie symmetry analysis to the equation in order to obtain exact solutions.

中文翻译：

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广义(2+1)维非线性演化方程的李对称性和守恒定律

本文考虑了一个基于两个非零任意常数的广义 (2+1) 维非线性演化方程。我们推导出李点对称发生器和李对称群。这种对称性分析给我们带来了归约方程，通过其中一个我们可以获得解。我们还得到了使用族的相应对称性获得的方程的低阶守恒定律。我们将介绍该方程的守恒定律分类，并将对方程应用李对称分析以获得精确解。