Formation of dispersive shock waves in evolution of a two-temperature collisionless plasma
The nonlinear dynamics of pulses in a two-temperature collisionless plasma with the formation of dispersion shock waves is studied. An analytical description is given for an arbitrary form of an initial disturbance with a smooth enough density profile on a uniform density background. For large time after the wave breaking moment, dispersive shock waves are formed. Motion of their edges is studied in the framework of Gurevich–Pitaevskii theory and Whitham theory of modulations. The analytical results are compared with the numerical solution.