Nonlinear Alfven Wave in an Ultra-Relativistic Electron-Positron Plasma

Abstract

Nonlinear Alfven wave propagating parallel to a constant magnetic field in an ultra-relativistic electron-positron plasma is investigated in a frame of covariant two-fluid model equation. It is shown that the nonlinear evolution of circular polarized Alfven wave is described by
(Remark: Graphics omitted.),
where B is the wave amplitude. Some stationary solutions (bright soliton, kink solution, spiky soliton with rapid phase rotation) are discussed.