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

The nonlinear propagation of small but finite amplitude dust ion-acoustic waves (DIAWs) in an ion-beam driven plasma consisting of Boltzmannian electrons, positive ions, and stationary negatively charged dust grains is studied by using the standard reductive perturbation technique. It is shown that there exist two critical values (gamma(c1) and gamma(c2)) of ion beam to ion phase velocity ratio (gamma), above and below which the beam generated solitons are not possible. The effects of the parameters, namely, gamma, the ratio of the ion beam to plasma ion density (mu(i)), the dust to ion density ratio (mu(d)), and the ion beam to plasma ion mass ratio (mu) on both the amplitude and width of the stationary DIAWs, are analyzed numerically, and applications of the results to laboratory ion beam as well as space plasmas (e.g., auroral plasmas) are explained.