Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation

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 t...

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Main Authors:	Gao Xiaoqing, Bilige Sudao, Lü Jianqing, Bai Yuexing, Zhang Runfa, Chaolu Temuer
Format:	Article
Language:	English
Published:	VINCA Institute of Nuclear Sciences 2019-01-01
Series:	Thermal Science
Subjects:	(3+1)-d kadomtsev-petviashvili equation lump solution interaction solutions hirota bilinear
Online Access:	http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904437G.pdf

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spelling	doaj-4b7fd98a6fec41b7b60614e1a456b4a22021-01-02T12:47:46ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362019-01-012342437244510.2298/TSCI1904437G0354-98361904437GAbundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equationGao Xiaoqing0Bilige Sudao1Lü Jianqing2Bai Yuexing3Zhang Runfa4Chaolu Temuer5Department of Mathematics, Inner Mongolia University of Technology, Hohhot, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot, ChinaCollege of Arts and Sciences, Shanghai Maritime University, Shanghai, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot, ChinaCollege of Arts and Sciences, Shanghai Maritime University, Shanghai, ChinaIn 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.http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904437G.pdf(3+1)-d kadomtsev-petviashvili equationlump solutioninteraction solutionshirota bilinear
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Gao Xiaoqing Bilige Sudao Lü Jianqing Bai Yuexing Zhang Runfa Chaolu Temuer
spellingShingle	Gao Xiaoqing Bilige Sudao Lü Jianqing Bai Yuexing Zhang Runfa Chaolu Temuer Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation Thermal Science (3+1)-d kadomtsev-petviashvili equation lump solution interaction solutions hirota bilinear
author_facet	Gao Xiaoqing Bilige Sudao Lü Jianqing Bai Yuexing Zhang Runfa Chaolu Temuer
author_sort	Gao Xiaoqing
title	Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation
title_short	Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation
title_full	Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation
title_fullStr	Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation
title_full_unstemmed	Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation
title_sort	abundant lump solutions and interaction solutions of a (3+1)-d kadomtsev-petviashvili equation
publisher	VINCA Institute of Nuclear Sciences
series	Thermal Science
issn	0354-9836
publishDate	2019-01-01
description	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.
topic	(3+1)-d kadomtsev-petviashvili equation lump solution interaction solutions hirota bilinear
url	http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904437G.pdf
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Abundant lump solutions and interaction solutions of a (3+1)-D Kadomtsev-Petviashvili equation

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