In this paper, a (2+1)-dimensional nonlinear evolution equation (NLEE), namely the generalisedCamassa–Holm–Kadomtsev–Petviashvili equation (gCHKP) or Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation (KP-BBM), is examined. After applying the newly developed generalised exponential rationalfunction method (GERFM), 14 travelling wave solutions are formally generated. It is worth mentioning that byspecifying values to free parameters some previously obtained solutions can be recovered. The simplest equationmethod (SEM) is used to prove that the solutions obtained by GERFM are good. With the aid of a symboliccomputation system, we prove that GERFM is more efficient and faster