Relativistic Magnetized Electron–Positron Quantum Plasma and Large-Amplitude Solitary Electromagnetic Waves

Nonlinear propagation of stationary large-amplitude electromagnetic (EM) solitary waves in a magnetized electron–positron (EP) plasma is studied using a fully relativistic two-fluid hydrodynamic model. In the first step, we wrote the one-body particle and N-body particle fluid equations for the electron–positron fluid, taking into account the spin effects and regardless of the thermal effects. These equations are the first to be set for electron and positron fluids. The particle-antiparticle nature of the relativistic particles is explicit in this fluid theory. The nonrelativistic limit is shown to be in agreement with previous attempts to develop a spin plasma theory derived from the Pauli Hamiltonian. In the second step, we investigated the thermal effects without considering the spin effects and according to the enthalpy of the system. In the last step, we studied the electromagnetic mode propagation for this type of plasma and determined the range of wave transition.