Nonlinear propagation of ultra-low-frequency electromagnetic modes in a magnetized dusty plasma
The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, Trieste, Italy
2 University of Cambridge, Cavendish Laboratory, Cambridge CB3 OHE, UK
Revised: 11 October 1999
Published online: 15 May 2000
A theoretical investigation has been made of nonlinear propagation of ultra-low-frequency electromagnetic waves in a magnetized two fluid (negatively charged dust and positively charged ion fluids) dusty plasma. These are modified Alfvén waves for small value of θ and are modified magnetosonic waves for large θ, where θ is the angle between the directions of the external magnetic field and the wave propagation. A nonlinear evolution equation for the wave magnetic field, which is known as Korteweg de Vries (K-dV) equation and which admits a stationary solitary wave solution, is derived by the reductive perturbation method. The effects of external magnetic field and dust characteristics on the amplitude and the width of these solitary structures are examined. The implications of these results to some space and astrophysical plasma systems, especially to planetary ring-systems, are briefly mentioned.
PACS: 52.35.Hr – Electromagnetic waves (e.g., electron-cyclotron, Whistler, Bernstein, upper hybrid, lower hybrid) / 52.35.Sb – Solitons; BGK modes / 52.35.Mw – Nonlinear waves and nonlinear wave propagation (including parametric effects, mode coupling, ponderomotive effects, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000