General Higher-Order Breather and Hybrid Solutions of the Fokas System

Ting-Ting Chen,Peng-Yan Hu,Jing-Song He

Fig.2 Three directions of the first-order breather $|U|$ Eq.(9) of the Fokas system in the $(x,y)$-plane at $t=0$ with parameters $\zeta_0=0$, $\eta_0=0$ given by Eq.(8) and (a) $\alpha=1$, $\beta=0$, $k=0$, $\delta={1}/{2}$.(b) $\alpha=0$, $\beta={1}/{2}$, $k=1$, $\delta=0$. (c) $\alpha={1}/{2}$, $\beta={1}/{2}$, $k={1}/{2}$, $\delta=1$.