Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.8, August 2018

Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation ()

HTML XML

Download as PDF (Size: 2913KB) PP. 1733-1747

DOI: 10.4236/jamp.2018.68148 982 Downloads 2,480 Views Citations

Author(s)

Jianqing Lü, Sudao Bilige^*, Xiaoqing Gao, Yuexing Bai, Runfa Zhang

Affiliation(s)

College of Sciences, Inner Mongolia University of Technology, Hohhote, China.

ABSTRACT

In this paper, we obtained a kind of lump solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation with the assistance of Mathematica. Some contour plots with different determinant values are sequentially made to show that the corresponding lump solutions tend to zero when x²+y²→∞. Particularly, lump solutions with specific values of the include parameters are plotted, as illustrative examples. Finally, a combination of stripe soliton and lump soliton is discussed to the KP-BBM equation, in which such a solution presents two different interesting phenomena: lump-kink and lump-soliton. Simultaneously, breather rational soliton solutions are displayed.

KEYWORDS

Lump Solution, KP-BBM Equation, Hirota Bilinear Form, Interaction Phenomenon, Breather Soliton

Share and Cite:

Lü, J. , Bilige, S. , Gao, X. , Bai, Y. and Zhang, R. (2018) Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation. Journal of Applied Mathematics and Physics, 6, 1733-1747. doi: 10.4236/jamp.2018.68148.

Journals Menu

Follow SCIRP

	+1 323-425-8868
	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies