Nonlinear drift ion acoustic waves in degenerate plasmas with adiabatic trapping

Abstract

In this work, we have investigated ion acoustic drift waves in the presence of adiabatically trapped degenerate electrons in both linear and nonlinear regimes. Using quantum magnetohydrodynamics (QMHD), we have modelled a new nonlinear wave equation with a fractional nonlinearity in two spatial dimensions and one temporal coordinate. We have carried out the nonlinear analysis by using Sagdeev potential approach and obtained arbitrary amplitude rarefactive solitons. The propagation ranges for these solitons are worked out with regard to inhomogeneity and obliqueness. For illustrative purposes, we have applied our results to neutron stars [5] where the quantum effects are surmised to be extremely significant.