  A wide class of exact solutions is obtained for the problem of finding the
equilibrium configurations of charged jets of a conducting liquid; these
configurations correspond to the finite-amplitude azimuthal deformations of the
surface of a round jet. A critical value of the linear electric charge density
is determined, for which the jet surface becomes self-intersecting, and the jet
splits into two. It exceeds the density value required for the excitation of
the linear azimuthal instability of the round jet. Hence, there exists a range
of linear charge density values, where our solutions may be stable with respect
to small azimuthal perturbations.
