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

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 Poincar,-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 (H (e), H (i)), the Fermi temperature ratio (sigma) and the dust charged number density (n (d0)) on the phase shifts. Different values of mu = z (d0)(n (d0)/n (i0)) and mu (d) = z (d0)(m (i)/m (d)) are taken to discuss the effects on phase shifts, where z (d0) denotes the dust charge number, n (j0) represents the equilibrium number density and m (j) 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.