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

Yulei Cao,Yi Cheng,Jingsong He,Yiren Chen

Figure 7. The time evolution in the (x, y)-plane of the semi-rational solution consisting of a lump and two kink solitons given by equation (22), with parameters λ1 = 1 − i, λ1 = 1 + i, p3 = 1, p4 = 1, q3 = − 1, q4 = 1 and ${\eta }_{3}^{0}={\eta }_{4}^{0}=0$. Panels (a)–(c) are the contour plots of (d)–(f) respectively.