Open AccessAbundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation
Author(s) -
Xiaoqing Gao,
Sudao Bilige,
Jianqing Lü,
Yuexing Bai,
Runfa Zhang,
Temuer Chaolu
Publication year - 2019
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci1904437g
Subject(s) - kadomtsev–petviashvili equation , bilinear interpolation , bilinear form , zero (linguistics) , contour line , mathematics , mathematical analysis , physics , partial differential equation , characteristic equation , statistics , philosophy , meteorology , linguistics
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.