Head-on collision of electron-acoustic Korteweg-de Vries solitons in a magnetized quantum plasma

Abstract

The head-on collision between two electron-acoustic waves (EAWs)in a magnetized quantum plasma is studied. Using the extended Poincaré-Lighthill-Kuo (PLK) method we have obtained the two-sided Korteweg-de-Vries (KdV) equations. The analytical phase shifts and the trajectories after the head-on collision of two solitons have been derived. We provide the theoretical predictions about the existence of compressive and rarefactive EAWs in the considered model, we have observe that collisions are possible only among the same polarity solitons. Moreover the phase shifts are significantly affected by the quantum diffraction parameter, by the ratio between the hot to cold electron number densities, by the phase velocity and by the normalized electron gyrofrequency. The important observations of this manuscript are that the waves reach a maximum amplitude which is 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.