High-order breather, M-kink lump and semi-rational solutions of potential Kadomtsev–Petviashvili equation

Yulei Cao,Yi Cheng,Jingsong He,Yiren Chen

Figure 8. Semi-rational solutions u plotted in the (x, y)-plane, consisting of a lump and a breather solutions for equation (2) with parameters ${\lambda }_{1}=1-{\rm{i}},{\lambda }_{1}=1+{\rm{i}},{{p}}_{3}=\tfrac{{\rm{i}}}{2},{{p}}_{4}=-\tfrac{{\rm{i}}}{2},{{q}}_{3}=1,{{q}}_{4}=1$ and ${\eta }_{3}^{0}={\eta }_{4}^{0}=6\pi $ in equation (22). Panel (b) is the contour plot of (a).