Plasma Shock Wave in Gamma-Ray Bursts: Nonlinear Phenomena and Radiative Process

Abstract

Since gamma-ray bursts (GRBs) are related to extreme explosions in the universe, they provide a unique setup to study various space plasma phenomena. The GRB spectra supply a wide range of information regarding the various nonlinear interactions and associated structures. In this work, we study the generation of shock fronts and their properties in a plasma. Such a plasma shock is the aftereffect of an explosion of which the prompt emission of GRBs are the signatures. The shock fronts are studied analytically by deriving the KdV–Burger’s equation. The solution of the KdV–Burgers equation via the “Cole-Hoff transformation” is studied alongside the usual “hyperbolic-tangent method.” The dynamical properties of the shock solitons are studied further to second our findings and find the stability and any possibility of chaos. The results will help to interpret the stellar plasma properties from data. <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">PACS</i> —95.30.Qd, 52.65.-y, 52.35.-g, 52.35.Tc, 52.27.Lw