Weakly dissipative solitons in quantum plasma
Department of Applied Mathematics, University of Calcutta - 92, Acharya Prafulla Chandra Road, Kolkata-700 009, India
Received: 4 June 2012
Accepted: 5 July 2012
Low-frequency weakly nonlinear waves are investigated in a weakly dissipative quantum plasma. The dissipation arises due to collisions. The weakly nonlinear wave is shown to be governed by a damped Korteweg-de Vries (KdV) equation. The damping occurs due to ion-neutral collisions. Analytical and numerical solutions reveal that the nonlinear waves exhibit weakly dissipative solitons.
PACS: 67.10.Jn – Transport properties and hydrodynamics / 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
© EPLA, 2012