Abstract
In this paper, we study a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, which is physically meaningful. Applying the simplified Hirota's method, we derive multiple-soliton solutions and lumps for this new model, where the coefficients of spatial variables are not constrained by any conditions. But the phase and the new model are dependent on all these coefficients. Moreover, this new model passes the Painleve integrability test.