This paper aims to study a (\(3+1\))-dimensional novel KP-like equation, which arises in the analysis of versions of resonant phenomena. The classical symmetry approach will be employed to search for exact solutions. Thereafter, we will search for the admitted conserved vectors of the mentioned novel KP-like equation. Although Kuo and Ma (Wave Random Complex, https://doi.org/10.1080/17455030.2020.1792580, 2020) have given a recommendable effort to solve a new (\(3+1\))-dimensional novel KP-like equation, there is no unified method. The method employed in Kuo and Ma (Wave Random Complex, https://doi.org/10.1080/17455030.2020.1792580, 2020), cannot be used to construct conservation laws or point symmetries and hence this prompted the utilization of the classical symmetry approach for the underlying equation.

本文旨在研究一个（\（3 + 1 \））维新的KP类方程，该方程在分析共振现象的形式时出现。经典的对称方法将用于搜索精确解。此后，我们将搜索提到的新颖KP-like方程的允许守恒矢量。尽管Kuo和Ma（Wave Random Complex，https://doi.org/10.1080/17455030.2020.1792580，2020）做出了可取的努力来解决一个新的（\（3 + 1 \））维新的类似KP的方程，没有统一的方法。Kuo和Ma（Wave Random Complex，https://doi.org/10.1080/17455030.2020.1792580，2020）中使用的方法不能用于构造守恒律或点对称性，因此这促使经典对称方法的利用对于基本方程式。