Abstract In this paper, multiple-order line rogue waves of extended Kadomtsev–Petviashvili equation are constructed based on the Hirota bilinear method and symbolic computation approach. Motion trajectories and minimum and maximum values of the first-order line rogue wave solutions are analyzed in detail. Furthermore, both second-order and third-order line rogue waves are explicitly derived and their complex dynamical behaviors are illustrated by three-dimensional plots.

中文翻译：

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扩展Kadomtsev-Petviashvili方程的多阶线流氓波解

摘要 本文基于Hirota双线性方法和符号计算方法构造了扩展Kadomtsev-Petviashvili方程的多阶线流氓波。详细分析了一阶线流氓波解的运动轨迹和最小值和最大值。此外，明确导出了二阶和三阶线流氓波，并通过三维图说明了它们复杂的动力学行为。