Self-guiding electromagnetic beams in relativistic electron–positron plasmas

Nonlinear interaction of an intense electromagnetic (EM) beam with relativistically hot electron–positron plasma is investigated by invoking the variational principle and numerical simulation, resting on the model of generalized nonlinear Schrödinger equation with saturating nonlinearity. The present analysis shows the dynamical properties including the possibilities of trapping and wave-breaking of EM beams. These properties of EM beams may give a significant clue for the gamma-ray burst.