Abstract
A new generalized Kadomtsev-Petviashvili (GKP) equation is derived from a bilinear differential equation by taking the transformation u = 2(ln f)(x). By symbolic computation with Maple, lump solutions, rationally localized in all directions in the space, to the GKP equation are presented. The obtained lump solutions contain a set of six free parameters, four of which should satisfy a nonzero determinant condition. As special examples, six particular lump solutions are constructed and depicted with t = 1.