TITLE:
High-Order Soliton Solutions and Hybrid Behavior for the (2 + 1)-Dimensional Konopelchenko-Dubrovsky Equations
AUTHORS:
Xingying Li, Yin Ji
KEYWORDS:
Konopelchenko-Dubrovsky Equations, Hirota Bilinear Method, M-Order Lump Solutions, High-Order Hybrid Solutions, Interaction Behavior
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.7,
July
19,
2024
ABSTRACT: In this paper, the evolutionary behavior of N-solitons for a (2 + 1)-dimensional Konopelchenko-Dubrovsky equations is studied by using the Hirota bilinear method and the long wave limit method. Based on the N-soliton solution, we first study the evolution from N-soliton to T-order (
T=1,2
) breather wave solutions via the paired-complexification of parameters, and then we get the N-order rational solutions, M-order (
M=1,2
) lump solutions, and the hybrid behavior between a variety of different types of solitons combined with the parameter limit technique and the paired-complexification of parameters. Meanwhile, we also provide a large number of three-dimensional figures in order to better show the degeneration of the N-soliton and the interaction behavior between different N-solitons.