Nonlinear quantum ion acoustic waves in a Fermi plasma

Abstract

Ion acoustic waves in a homogeneous quantum plasma, comprising of positive, negative ions, and electrons, have been investigated via the Korteweg–de Vries equation. The positive and negative ions are taken inertial and electrons are taken as inertialess. It is determined that the dispersive property of quantum plasma is strongly related to the quantum diffraction parameter. The quantum diffraction parameter (He), ion mass ratio (m), and negative ion temperature ratio (β) blatantly influence the propagation and type (compressive/rarefactive) of nonlinear ion acoustic solitary wave. It is noticed that soliton amplitude follows a dual trend at higher and lower concentrations of negative ions. The theoretical calculations presented are applicable to analyze the propagation of ion acoustic waves in a quantum electron-ion plasma containing negative ions in addition.