Nonlinear Stationary Interchange Modes in a Plasma

Nonlinear two-dimensional interchange modes, excited in a nonuniform magnetized plasma, are found as analytical stationary solutions of the ion vortex equation. The effects of deviation from charge neutrality and nonuniform gravity have been included in these solutions. For an exponential type of density and enstrophy functions it is possible to reduce the equation governing the electric potential to the Liouville equation (..delta..Phi = explambdaPhi).