Characteristic Study of Head-on Collision of Ion Acoustic Dissipative Solitons in a Ultracold Neutral Plasma Through the Both Sided Damped KdV-Burgers Equation

This study examines the head-on collisions of solitons within an ultracold neutral plasma (UNPs), taking into account the effects of ion-neutral collisions and longitudinal viscosity. The ion-fluid equations are analyzed under consideration of a q-nonextensive electron distribution. By employing the extended Poincare-Lighthill-Kuo (ePLK) method, two Damped Korteweg-de Vries Burgers (dKdVB) equations are derived. Approximated analytical solutions for the damped KdV Burger equation are obtained, allowing for an investigation into how the ion-neutral collision frequency parameter \( \nu _{in} \), the longitudinal viscosity parameter L, the effective temperature ratio parameter \( \sigma _* \), and the nonextensive parameter q affect soliton propagation. The primary aim of this research is to explore the dissipation of soliton collisions in the context of damping.