THERMAL SCIENCE

International Scientific Journal

Xiaoqing Gao

,

Sudao Bilige

,

Jianqing Lü

,

Yuexing Bai

,

Runfa Zhang

,

Temuer Chaolu

ABUNDANT LUMP SOLUTIONS AND INTERACTION SOLUTIONS OF A (3+1)-D KADOMTSEV-PETVIASHVILI EQUATION

ABSTRACT
In this paper, abundant lump solutions and two types of interaction solutions of the (3+1)-D Kadomtsev-Petviashvili equation are obtained by the Hirota bilinear method. Some contour plots with different determinant values are sequentially given to show that the corresponding lump solution tends to zero when the deter-minant approaches to zero. The interaction solutions with special parameters are plotted to elucidate the solution properties.
KEYWORDS
(3+1)-D Kadomtsev-Petviashvili equation, Lump solution, interaction solutions, Hirota bilinear
PAPER SUBMITTED: 2018-05-08
PAPER REVISED: 2018-10-20
PAPER ACCEPTED: 2018-10-24
PUBLISHED ONLINE: 2019-09-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1904437G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 4, PAGES [2437 - 2445]
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Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence