TITLE:
Double-Peakon Solutions of Two Four-Component Camassa-Holm Type Equations
AUTHORS:
Yuanli Li, Qilao Zha
KEYWORDS:
Peakon Solution, Dynamic Behavior, Four-Component CH Type Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.7,
July
25,
2016
ABSTRACT:
This
paper is contributed to study two new integrable four-component systems reduced
from a multi-component generation of Camassa-Holm equation. Some double peakon
solutions of both systems are described in an explicit formula by the method of
variation of constant for ordinary differential equations. These double peakon
solutions are established in weak sense. The dynamic behaviors of the obtained
double peakon solutions are illustrated by some figures.