Nonlinear structures in a pair (electron, positron)-ion dense plasmas

Abstract

The problem of nonlinear quantum positron-acoustic waves (QPAW's) is addressed in a dense astrophysical plasma. The latter is composed of four different species. Using the quantum hydrodynamic model and carrying out a weakly nonlinear analysis, Korteweg-de Vries (K-dV) and generalized K-dV equations are derived. The influence of quantum effects on solitary structures as well as double-layers is then examined. Due to quantum effects, the QPA soliton experiences a compression while the double-layers enlarge. Our results may aid to interpret and understand the QPAWs that may occur in dense plasmas.