Article citationsMore>>

Ma, W.X. (2015) Lump Solutions to the Kadomtsev-Petviashvili Equation. Physics Letters A, 379, 1975-1978.
https://doi.org/10.1016/j.physleta.2015.06.061
https://www.sciencedirect.com/science/article/pii/S0375960115005800

has been cited by the following article:

• TITLE: Diversity of Interaction Solutions to the (2 + 1)-Dimensional Sawada-Kotera Equation

  AUTHORS: Rui Hu

  KEYWORDS: Hirota Bilinear Form, Lump Solution, Interaction Solution, (2 + 1)-Dimensional Sawada-Kotera Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.8, August 28, 2018

  ABSTRACT: In this paper, based on Hirota bilinear form, we aim to show the diversity of interaction solutions to the (2 + 1)-dimensional Sawada-Kotera (SK) equation. By introducing an arbitrary differentiable function in assumption form, we can obtain abundant interaction solutions which can provide the possibility for exploring the interactions between lump waves and other kinds of waves. By choosing some particular functions and values of the involved parameters, we give four illustrative examples of the resulting solutions, and explore some novel interaction behaviors in (2 + 1)-dimensional SK equation.