Analysis of Solution of Damped Modified-KdV Equation on Dust-Ion-Acoustic Wave in Presence of Superthermal Electrons

Abstract

Nonlinear propagation of dust-ion-acoustic (DIA) waves in an unmagnetized collisional dusty plasma consisting of superthermal electrons, mobile ions and immobile negative dust particles have been investigated by employing the standard reductive perturbation technique. An analytical solution of the damped Korteweg–de Vries (KdV) equation is derived and the effects of superthermal electrons characterized by the parameter κ and dust-ion collision frequency $${{\nu }_{{{\text{id}}}}}$$ are found to modify the properties of the DIA solitary waves. In particular, it has been found that the presence of the superthermal electrons increases the amplitude and also the width of the nonlinear DIA wave. The variation of the amplitude and the width of the DIA wave have been found to be dependent on time. A parametric study of the variation of the electrostatic potential, amplitude, and width of the solitary wave is presented in this investigation.