  We report fractional revival phenomena in an ultracold matter wave inside a
ring waveguide. The specific fractional revival times are precisely identified
and corresponding spatial density patterns are depicted. Thorough analyses of
the autocorrelation function and quantum carpet provide clear evidence of their
occurrence. The exhibited theoretical model is in exact conformity of our
numerical results. We also investigate the stability of the condensate and a
variation of revival time with the diameter of the ring.
