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 Poincaré–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 ( σ ) and the dust charged number density ( n d0 ) on the phase shifts. Different values of μ = z d0 ( n d0 / n i0 ) and μ 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 j 0 represents the equilibrium number density and m j is the mass of the j th 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.