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.
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