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

TL;DR

This paper investigates the nonlinear behavior of dust ion-acoustic waves in an ion-beam driven dusty plasma, analyzing how various parameters influence wave properties and identifying critical conditions for soliton existence.

Contribution

It introduces a detailed analysis of ion-beam effects on dust ion-acoustic solitary waves using reductive perturbation technique, highlighting critical phase speed ratios for soliton formation.

Findings

Existence of two critical ion-beam to ion phase speed ratios where solitons cannot form.

Parameter variations significantly affect the amplitude and width of the solitary waves.

Results applicable to laboratory and space plasma environments such as auroral plasmas.

Abstract

The nonlinear propagation of small but finite amplitude dust ion-acoustic waves (DIAWs) in an ion-beam driven plasma with Boltzmannian electrons, positive ions and stationary charged dust grains, is studied by using the standard reductive perturbation technique (RPT). It is shown that there exist two critical values $(\gamma_{c1}$ and $\gamma_{c2})$ of ion-beam to ion phase speed ratio $(\gamma)$, beyond 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 $(\mu_{d})$ as well as 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.