Semi-rational solutions for the (3+1)-dimensional Kadomtsev–Petviashvili equation in a plasma or fluid

In this paper, we investigate the (3+1)-dimensional Kadomtsev–Petviashvili equation in a plasma or fluid. For the amplitude of the electrostatic wave potential in the plasma or shallow-water wave in the fluid, via the Kadomtsev–Petviashvili hierarchy reduction, we obtain the semi-rational solutions...

Full description

Saved in:
Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2018-12, Vol.76 (11-12), p.2566-2574
Main Authors: Yuan, Yu-Qiang, Tian, Bo, Liu, Lei, Chai, Han-Peng, Sun, Yan
Format: Article
Language:English
Subjects:
[formula omitted]-dimensional Kadomtsev–Petviashvili equation
Electrostatic waves
Electrostatics
Kadomtsev–Petviashvili hierarchy reduction
Plasma
Plasmas and fluids
Semi-rational solutions
Solitary waves
Water waves
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we investigate the (3+1)-dimensional Kadomtsev–Petviashvili equation in a plasma or fluid. For the amplitude of the electrostatic wave potential in the plasma or shallow-water wave in the fluid, via the Kadomtsev–Petviashvili hierarchy reduction, we obtain the semi-rational solutions in determinant form for such an equation. Interactions between the first-order lump (or rogue wave) and soliton are illustrated. We find that the lump arises and then separates from the soliton on the x–y and x–z planes; and that the rogue wave possesses a line profile and arises from the soliton (or constant background) on the y–z plane, where x, y and z are the scaled spatial coordinates. Interactions between the two lumps (or rogue waves) and two solitons are presented. Interactions between the second-order lump (or rogue wave) and one soliton are also presented.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2018.08.059