  We consider finite-amplitude Kelvin waves on an inviscid vortex assuming that
the vortex core has infinitesimal thickness. By numerically solving the
governing Biot-Savart equation of motion, we study how the frequency of the
Kelvin waves and the velocity of the perturbed ring depend on the Kelvin wave
amplitude. In particular, we show that, if the amplitude of the Kelvin waves is
sufficiently large, the perturbed vortex ring moves backwards.
