TITLE:
Exact Solutions for (2 + 1)-Dimensional KdV-Calogero-Bogoyavlenkskii-Schiff Equation via Symbolic Computation
AUTHORS:
Yan Li, Temuer Chaolu
KEYWORDS:
(2 + 1)-Dimensional KdV-Calogero-Bogoyavlenkskii-Schiff Equation, Trilinear Equation, Exact Solutions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.2,
January
20,
2020
ABSTRACT: This paper constructs exact solutions for the (2 + 1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation with the help of symbolic computation. By means of the truncated Painlev expansion, the (2 + 1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation can be written as a trilinear equation, through the trilinear-linear equation, we can obtain the explicit representation of exact solutions for the (2 + 1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation. We have depicted the profiles of the exact solutions by presenting their three-dimensional plots and the corresponding density plots.