In this paper, the Bogoyavlenskii-Kadomtsev–Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator is reported. Henceforth, conjugacy classes of abelian algebra are used to find the similarity reductions, which convert the considered equation into ordinary differential equations (ODEs). Further, theses ODEs are taken into consideration, and travelling wave structures are computed by applying different techniques. Moreover, the discussed model is discussed by means of nonlinear selfadjointness and conservation laws are derived for each Lie symmetry generator. For specific values of the physical parameters of the equation under discussion, the graphical behaviour of some solutions is depicted.

在本文中，通过李对称分析考虑了Bogoyavlenskii-Kadomtsev-Petviashvili（BKP）方程。根据李群的不变性标准计算无穷小发电机，并报告每个发电机的对称群。此后，使用阿贝尔代数的共轭类来找到相似度约简，该相似度约简将所考虑的方程转换为常微分方程（ODE）。此外，考虑这些ODE，并通过应用不同的技术来计算行波结构。此外，利用非线性自伴性讨论了所讨论的模型，并推导了每个李对称发生器的守恒律。对于正在讨论的方程的物理参数的特定值，描述了一些解决方案的图形行为。