https://doi.org/10.1140/epjd/e2004-00068-4
Lagrangian description of nonlinear dust–ion acoustic waves in dusty plasmas
Institut für Theoretische Physik IV,
Fakultät für Physik und Astronomie,
Ruhr-Universität Bochum, 44780 Bochum, Germany
Corresponding authors: a ioannis@tp4.rub.de - b ps@tp4.rub.de
Received:
22
March
2004
Published online:
11
May
2004
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 Lagrangian 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.
PACS: 52.27.Lw – Dusty or complex plasmas; plasma crystals / 52.35.Fp – Electrostatic waves and oscillations (e.g., ion-acoustic waves) / 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.) / 52.35.Sb – Solitons; BGK modes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
