It is well known that the Korteweg–de Vires (KdV) equation can describe small but finite amplitude dust acoustic wavesin adustyplasmas. Inthispaper, weuse thereductive perturbationmethodandderive aKadomtsev–Petviashvili (KP) equation, a modified KP (MKP) equation and a coupled KP equation for unmagnetized, collisionless, cold, and two-ion-temperature dusty plasmas with N dierent species of dust grains. We find that if a solitary wave exist in this system, the smaller grains have larger velocities and propagate longer distances than that of larger particles. The com-parisons are given between the dusty plasma composed by di?erent dust particles and the mono-sized dusty plasma.