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

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

Fig.9 Three kinds of lump combined with breather in the semi-rational solutions $|U|$ associated with Eq.(24) in the $(x,y)$-plane,with parameters $\alpha_{1}=1$, $\beta_{1}={1}/{2}$, $\alpha_{2}=0$, $\beta_{2}=2$, $\eta^{0}_{3}=-4\pi$ in Eq.(25). (a), (d) $a=1$, $b=1$, (b), (e) $a=0$, $b=1$, (c), (f) $a=-1$, $b=1$.