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Zhao, Z., Chen, Y. and Han, B. (2017) Lump Soliton, Mixed Lump Stripe and Periodic Lump Solutions of a (2+1)-Dimensional Asymmetrical Nizhnik-Novikov-Veselov Equation. Modern Physics Letters B, 14, Article ID: 1750157.
https://doi.org/10.1142/S0217984917501573

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.