Kinetic Alfven vortices in relativistic high-pressure electron-positron plasma

The paper studies theoretically the problem dealing with nonlinear kinetic Alfven waves in relativistic high-pressure electron-positron plasma. Kinetic equation for a function of particle distribution averaged by Larmor oscillations with regard for members that are square one by Larmor radius of particles is deducted to describe dispersion of such waves. Equations for nonlinear kinetic Alfven waves are acquired. Possibility of occurrence of solitary dipole vortices of such waves is shown. 6 refs