ABSTRACT           Using the extended Poincaré-Lighthill-Kuo (PLK) method, a theoretical investigation for nonlinear electrostatic dust acoustic solitary waves (DASWs) with external oblique magnetic field and two temperature ions is studied. The interesting feature of the nonlinear evolution equations for the DASWs is two Korteweg-de Vries (KdV) equations for small but finite amplitude solitary waves. The phase shifts and trajectories of DASWs after collision are deduced. Results in summary insure the effects of some physical parameters such as the obliqueness angle of the external magnetic field, the effective temperature of ions to the electron temperature ratio, and the two-different types of ions on the phase shifts for both the physical process (isothermal and adiabatic). Colors online provided strong effects for these factors on the wave future.