Propagation of nonlinear electron acoustic solitons in magnetized dense plasma with quantum effects of degenerate electrons

Abstract

The nonlinear electron-acoustic solitons are investigated in magnetized dense plasma with quantum effects of degenerate electrons in this model. After reviewing the basic introduction of quantum plasma, we describe the nonlinear phenomenon of electron acoustic wave. The reductive perturbation technique is employed for derive Zakharov-Kuznetsov (ZK) equation for the propagation of quantum acoustic waves in magnetized dense plasma. In this paper, we have derived the Zakharov-Kuznetsov (ZK) equation of electron-acoustic solitons in a magnetized quantum plasma with degenerate electrons having arbitrary electron temperature. In this study, we observed that the relativistic effects, the ratio of the cold to hot electron (inertial and inertia less) unperturbed number density and the normalized magnetic field influence the solitary structures.