Acoustic solitons in magnetized quantum electron–positron plasmas

Abstract

Nonlinear acoustic wave propagation in dense magnetized electron–positron (e–p) plasmas in the presence of ions is studied. The e–p quantum fluid is taken to be dynamic, while the ions are assumed to be stationary to neutralize the plasma background only. The quantum hydrodynamics model is employed and the reductive perturbation method is used to derive the Zakharov–Kuznetsov equation. Electrostatic potential hump structures are obtained and it is found that an increase in positron concentration decreases the wave amplitude. However, an increase in magnetic field strength reduces the width of the structure significantly. The numerical results are also shown for illustration; the parameters used are taken from the data for the outer layers of white dwarfs.