Weakly dissipative solitons in quantum plasma

Samiran Ghosh^(a)

Department of Applied Mathematics, University of Calcutta - 92, Acharya Prafulla Chandra Road, Kolkata-700 009, India

^(a) sran_g@yahoo.com

Received: 4 June 2012
Accepted: 5 July 2012

Abstract

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.