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The nonlinear propagation of small but finite amplitude dust ion-acousticwaves (DIAWs) in an ion-beam driven plasma with Boltzmannian electrons,positive ions and stationary charged dust grains, is studied by using thestandard reductive perturbation technique (RPT). It is shown that there existtwo critical values $(\gamma_{c1}$ and $\gamma_{c2})$ of ion-beam to ion phasespeed ratio $(\gamma)$, beyond which the beam generated solitons are notpossible. The effects of the parameters, namely $\gamma$, the ratio of theion-beam to plasma ion density $(\mu_{i})$, the dust to ion density ratio$(\mu_{d})$ as well as the ion-beam to plasma ion mass ratio $(\mu)$ on boththe amplitude and width of the stationary DIAWs are analyzed numerically, andapplications of the results to laboratory ion-beam as well as space plasmas(e.g., auroral plasmas) are explained.

Ion-beam driven dust ion-acoustic solitary waves in dusty plasmas