Head-on collision between solitons in relativistic plasma

A study on nonlinear dynamics of head-on collision of electron acoustic solitons (EASs) in a weakly relativistic unmagnetized plasma composed of stationary ions, cold inertia ions and het Boltzmann distributed electrons is carried out. Two Korteweg-de Vries (KdV) equations are derived by employing extended Poincare Lighthill-Kou (PLK) method. In the given range of plasma parameters, only negative potential EASs are observed. Further, from the solutions of KdV equations dynamics of head-on collision between two EASs has been illustrated. The variation of phase shifts for the different plasma parameters has been analyzed. The results of present investigation may have enormous significance in the context of plasma heating process in astrophysical regions.