The High Order Interaction Solutions Comprising Lump Solitons for the
(2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada Equation
Abstract
This paper deals with localized waves in the (2+1)-dimensional
Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation in the incompressible
fluid. Based on Hirota’s bilinear method, N-soliton solutions related to
CDGKS equation are constructed. For the case N = 5 and N = 6, the exact
expression of multiple localized wave solutions comprising lump solitons
are obtained by using the long wave limit method. A variety of
interactions are illustrated analytically and graphically. The influence
of parameters on propagation is analyzed and summarized. The results and
phenomena obtained in this paper enrich the dynamic behavior of the
evolution of nonlinear localized waves.