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The nonlinear propagation of large amplitude dust ion-acoustic (DIA) solitarywaves (SWs) in an ion-beam plasma with stationary charged dusts isinvestigated. For typical plasma parameters relevant for experiments [J. PlasmaPhys. \textbf{60}, 69 (1998)], when the beam speed is larger than the DIA speed($v_{b0}\gtrsim1.7c_s$), three stable waves, namely the "fast" and "slow"ion-beam modes and the plasma DIA wave are shown to exist. These modes canpropagate as SWs in the beam plasmas. However, in the other regime($c_s<v_{b0}<1.7c_s$), one of the beam modes when coupled to the DIA mode maybecome unstable. The SWs with positive (negative) potential may exist when thedifference of the nonlinear wave speed ($M$) and the beam speed is such that$1.2\lesssim M-v_{b0}\lesssim1.6$ ($M-v_{b0}\gtrsim1.6$). Furthermore, for realdensity perturbations, the wave potential $(>0)$ is found to be limited by acritical value which typically depends on $M$, $v_{b0}$ as well as the ion/beamtemperature. The conditions for the existence of DIA solitons are obtained andtheir properties are analyzed numerically in terms of the system parameters.While the system supports both the compressive and rarefactive large amplitudeSWs, the small amplitude solitons exist only of the compressive type. Thetheoretical results may be useful for observation of soliton excitations inlaboratory ion-beam driven plasmas as well as in space plasmas where thecharged dusts play as impurities.

Large amplitude solitary waves in ion-beam plasmas with charged dust impurities