Head-on collision of dust-ion-acoustic solitons in electron-dust-ion quantum plasmas

Abstract

In this paper, we study the head-on collision between two dust-ion-acoustic (DIA) solitons in quantum electron-dust-ion plasma. Using the extended Poincare–Lighthill–Kuo (PLK) method, we obtain the Korteweg–de Vries (KdV) equations, the phase shifts and the trajectories after the head-on collision of the two DIA solitons. We investigate the effect of quantum diffraction parameters for electrons and ions (He, Hi), the Fermi temperature ratio (σ) and the dust charged number density (nd0) on the phase shifts. Different values of μ = zd0(nd0/ni0) and μd = zd0(mi/md) are taken to discuss the effects on phase shifts, where zd0 denotes the dust charge number, nj0 represents the equilibrium number density and mj is the mass of the jth species (j = e, i, d for electrons, ions and dust particles, respectively). It is observed that the phase shifts are significantly affected by the plasma parameters.