Ab. Mikhailovskii et Og. Onishchenko, KINETIC ALFVEN VORTICES IN A RELATIVISTIC HIGH-PRESSURE ELECTRON-POSITRON PLASMA, Plasma physics reports, 22(7), 1996, pp. 590-594
Nonlinear kinetic Alfven waves are studied in a relativistic, high-pre
ssure electron-positron plasma. In order to describe the dispersion of
these waves, the kinetic equation (averaged over the Larmor rotation)
for the particle distribution function is derived with allowance for
terms that are quadratic in the Larmor radius of the particles. Equati
ons for the nonlinear kinetic Alfven waves are obtained. It is shown t
hat solitary dipole vortices of these waves can exist.