Journal
MATHEMATICS AND COMPUTERS IN SIMULATION
Volume 180, Issue -, Pages 251-257Publisher
ELSEVIER
DOI: 10.1016/j.matcom.2020.09.007
Keywords
Extended Kadomtsev-Petviashvili equation; Multiple-order rogue waves; Symbolic computation; Bilinear method
Categories
Funding
- NSF of China [11671219]
- Natural Science Foundation of Zhejiang Province [LY15A010005]
- Natural Science Foundation of Ningbo [2018A610197]
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The paper constructs multiple-order line rogue waves of extended Kadomtsev-Petviashvili equation using the Hirota bilinear method and symbolic computation approach. It analyzes the motion trajectories and extreme values of the first-order line rogue wave solutions in detail, and explicitly derives second-order and third-order line rogue waves, illustrating their complex dynamical behaviors through three-dimensional plots.
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. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
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