Nonplanar Ion-Acoustic Solitons in Electron–Positron–Ion Quantum Plasmas

Abstract

The propagation of nonplanar quantum ion-acoustic solitary waves in a dense, unmagnetized electron–positronion (e-p-i) plasma are studied by using the Korteweg–de Vries (KdV) model. The quantum hydrodynamic (QHD) equations are used taking into account the quantum diffraction and quantum statistics corrections. The analytical and numerical solutions of KdV equation reveal that the nonplanar ion-acoustic solitons are modified significantly with quantum corrections and positron concentration, and behave differently in different geometries.