Gao, L.N., Zi, Y.Y., Yin, Y.H., Ma, W.X. and Lü, X. (2017) Backlund Transformation, Multiple Wave Solutions and Lump Solutions to a (3+1)-Dimensional Nonlinear Evolution Equation. Nonlinear Dynamics, 89, 2233-2240.
https://doi.org/10.1007/s11071-017-3581-3

has been cited by the following article:

• TITLE: Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation

  AUTHORS: Jianqing Lü, Sudao Bilige, Xiaoqing Gao, Yuexing Bai, Runfa Zhang

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.8, August 29, 2018

  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.