Multiple-order rogue waves for the generalized (2+1)-dimensional Kadomtsev-Petviashvili equation

Starting with the bilinear form of the generalized (2+1)-dimensional Kadomtsev- Petviashvili equation, multiple-order rogue waves have been obtained through symbolic computation. Maximum and minimum values as well as their trajectories for the first order rogue wave are systematically discussed. Moreover, the second order and third order rogue waves are established by eliminating the impact of the mixed partial derivative, and the numerical simulations are demonstrated to visualize their temporal evolution. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This study obtains multiple-order rogue waves through symbolic computation based on the generalized (2+1)-dimensional Kadomtsev-Petviashvili equation. The first order rogue wave's maximum and minimum values and trajectories are systematically discussed, while the second and third order rogue waves are established by eliminating the impact of the mixed partial derivative, and their temporal evolution is visualized through numerical simulations.