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.