Lagrangean description of nonlinear dust--ion acoustic waves in dusty plasmas
arXiv:physics/0403104 · doi:10.1140/epjd/e2004-00068-4
Abstract
An analytical model is presented for the description of nonlinear dust-ion-acoustic waves propagating in an unmagnetized, collisionless, three component plasma composed of electrons, ions and inertial dust grains. The formulation relies on a Lagrangean approach of the plasma fluid model. The modulational stability of the wave amplitude is investigated. Different types of localized envelope electrostatic excitations are shown to exist.
9 pages, 2 figures, submitted to European Physical Journal D