Head-on collisions of two types of dust-acoustic solitons in a magnetized quantum plasma

The head-on collisions of dust-acoustic waves (DAWs) in a dense magnetized quantum dusty plasma are investigated by using the extended version of the Poincaré–Lighthill–Kuo (PLK) method. We discuss the theoretical predictions as regards the existence of compressive and rarefactive DAWs in the model. We also observe that, in the generic case, collisions are possible among the same polarity solitons, whereas in the special case, collisions are possible among the same or opposite polarity solitons. It is also observed that the phase shifts are significantly affected by the quantum diffraction parameter and the dust cyclotron frequency. The interesting observations of this manuscript are that the waves reach a maximum amplitude which is a superposition of the initial amplitude and they suffer a time delay during their collision. Our results may be useful in space and laboratory plasmas as well as in plasma applications.