Abstract
In this paper, multiple rogue wave solutions of a generalized (3+1)-dimensional Kadomtsev–Petviashvili (KP) equation are studied. Based on the bilinear form of this considered equation and a generalized ansatz form, the N-order rogue waves can be constructed. Here we only show in the first-order rogue waves, the second-order rogue waves and the third-order rogue waves. Then, dynamic characteristics of multiple rogue waves are analyzed by drawing the 3D-and 2D-dimensional plots. We see that the M-rogue wave consists of M-independent single first order rogue wave. This interesting phenomenon can help us better reveal KP equation evolution mechanism.
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