Explicit and implicit solutions of a generalized Camassa–Holm Kadomtsev–Petviashvili equation

In this paper, a generalized Camassa–Holm Kadomtsev–Petviashvili (gCH–KP) equation is studied. As a result, under different parameter conditions, the bounded travelling wave solutions such as periodic waves, periodic cusp waves, solitary waves, peakons, loops and kink waves are given, and the dynamic characters of these solutions are investigated.