THE EFFECT OF SUPERTHERMAL DISTRIBUTED ELECTRONS an‎d IONS ON THE DYNAMICS OF SOLITARY an‎d SHOCK WAVES INTERACTION

The characteristics of head-on collision of two propagating dust acoustic (DA) solitary and shock waves in a strongly coupled dusty plasma with superthermal electron and ion distributions are investigated. The dusty plasma system is analyzed nonlinearly via the extended Poincaré-Lighthill-Kuo perturbation technique to derive a coupled set of Korteweg-de Vries-Burgers (KdV-Burgers) equations. Some interesting physical solutions such as solitary waves, shock waves and combination between solitary and shock waves solutions are obtained to describe the collision process between suchtypes of nonlinear waves. As a result, phase shifts due to the collision are produced and the effect of the superthermal parameter on the phase shifts is studied as well. It is found that the superthermal parameter plays a significant role on the properties of the nonlinear waves since the associated phase shifts are found to be increased with increasing the superthermal parameter. Our results may help to understand the characteristics of solitary and shock waves interaction that occur in plasma physics and ocean waves as well.