Abstract
In this work, we consider a (3[Formula: see text]+[Formula: see text]1)-dimensional generalized nonlinear evolution equation, which can be reduced to the potential Yu–Toda–Sasa–Fukuyama (YTSF) equation. We establish the more general lump solutions of the equation and discover its propagation path. It is interesting that we study the case where the lump wave is cut by one stripe wave. In this case, we obtain the lumpoff solution. Furthermore, the special rogue wave is generated by the collision of the lump wave and a couple of stripe soliton waves. The time and position it generates can be determined by tracking the propagation path of the lump wave. Finally, some graphical analysis of the solutions are presented to better understand the dynamic behavior of these waves.
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