Sagdeev Potential Approach for Quantum Dust Ion Acoustic Waves in an Electron-Positron-Ion-Dusty plasma

Abstract

Using the one-dimensional quantum hydrodynamic (QHD) model including the Poisson equation, Sagdeev’s pseudopotential process is used to explore the propagation features of dust ion acoustic (DIA) solitary waves in an unmagnetized electron-positron-ion-dusty (e-p-i-d) quantum plasma. The asymptotic expansion is used to achieve the pseudopotential function for small values of the parameter H of quantum diffraction. QDIA solitary wave’s existence domain is explored in terms of real Mach number boundaries. The numerical modeling results demonstrate that the dust grains can affect not just the amplitude and width, but also the soliton’s domain of existence. The impacts of the quantum diffraction parameter on the soliton width are also addressed. It is also noted that the positron density may influence the propagation of the wave.