Coherent construction of the ballooning mode in plasma cylinder

The nonlinear ballooning mode in plasma cylinder is investigated. The nonlinear system of equations governing the dynamics of the ballooning mode is derived, and the local vortex solution of this equation system is found. This new type of solution, called the ballooning cylindrical vortex, consists of both axisymmetrical and anti-symmetrical parts. When the distance from the centre of vortex to the cylindrical axis is much shorter than the vortex radius, this solution reduces to a monopole, and in the opposite case it becomes the usual dipole vertex. The allowed region of the angular velocity of vortex depends strongly on the curvature of magnetic field lines