Eur. Phys. J. Plus (2019) 134: 263
https://doi.org/10.1140/epjp/i2019-12663-5

Regular Article

KdV acoustic structure with exchange-correlation potential in plasmas

¹ Department of Physics, Government College University, 38000, Faisalabad, Pakistan
² Department of Physics, COMSATS University Islamabad, 54000, Lahore Campus, Pakistan

^* e-mail: abdurrasheed@gcuf.edu.pk

Received: 28 June 2018
Accepted: 4 March 2019
Published online: 14 June 2019

Abstract

The effect of the exchange-correlation potential (ECP) on the profile of dust-acoustic solitary waves (DASWs) in dusty plasma containing degenerate electrons and ions was investigated. The present study focuses on the linear and nonlinear long-wavelength dust-acoustic waves in non-relativistic plasmas. The linear acoustic waves are analyzed using the multi-fluid model, whereas the reductive perturbation theory is applied to derive a modified Korteweg-de Vries (KdV) equation for small- but finite-amplitude waves. The effects of dust concentration and the exchange-correlation potential were investigated. These parameters remarkably change the amplitude and the width of the solitary waves. The findings from this investigation may lead to further understanding of the characteristics of nonlinear electrostatic waves exciting in the dense Fermi gas which is present in metallic nano structures or in near-supernovae environment in the presence of massive charge defects.