A new high dimensional two-place Alice-Bob-Kadomtsev-Petviashvili (AB-KP) equation is proposed by applying the AB-BA and shifted-parity, delayed time reversal, charge conjugation (PsTdC)
principle to the usual KP equation. Based on the dependent variable transformation, the bilinear
form of the AB-KP system is constructed. Explicit trigonometric-hyperbolic, rational and rationalhyperbolic solutions are presented by taking advantage of the Hirota bilinear method. The obtained
breather, lump and interaction solutions enrich the solution structure of nonlocal nonlinear systems.
The three-dimensional graphs of these nonlinear wave solutions are demonstrated by choosing the
specific parameters.