In this paper, the Mth-order lump solutions for the (2+1)-dimensional Kadomtsev–Petviashvili I equation are studied. Firstly, the Nth-order wronskian determinant solutions of the Hirota bilinear form of the (2+1)-dimensional Kadomtsev–Petviashvili I equation are given. Then, the 1st-order lump solution is obtained by making elementary transformations and taking limit to the 2nd-order wronskian determinant solution. Next, the 2nd-order lump and the 3rd-order lump solutions are also similarly derived. The dynamic properties and characteristics of these low-order lump solutions are presented by three-dimensional images and the corresponding contour plots. Finally, based on the character of Vandermond determinant, the determinant expression of the Mth-order lump solutions is constructed by making elementary transformations and taking limit to the 2Mth-order wronskian determinant solutions.

本文研究了（2 + 1）维Kadomtsev–Petviashvili I方程的M阶整体解。首先，给出了（2 + 1）维Kadomtsev–Petviashvili I方程的Hirota双线性形式的N阶wronskian行列式解。然后，通过进行初等变换并限制二阶wronskian行列式解来获得一阶总解。接下来，也类似地导出二阶集解和三阶集解。这些低阶集总解的动力学性质和特征由三维图像和相应的等高线图表示。最后，根据范德蒙行列式的特征，