Relativistic electromagnetic solitons in a high temperature plasma

The set of the relativistic hydrodynamic equations for a hot two-species plasma are derived and then reduced in order to study the existence of one-dimensional soliton-like distributions of the electromagnetic energy in an electron-positron plasma. The investigation shows that (i) non-drifting bright solitons can exist in a hot electron-positron plasma, within a well defined range of plasma temperature; (ii) extremely high electromagnetic energy concentrations are possible in an ultrarelativistic plasma; (iii) the consistent plasma temperature develops strong spatial nonuniformities.