  We present an analysis of the Rayleigh-Plesset equation for a three
dimensional vacuous bubble in water. In the simplest case when the effects of
surface tension are neglected, the known parametric solutions for the radius
and time evolution of the bubble in terms of a hypergeometric function are
briefly reviewed. By including the surface tension, we show the connection
between the Rayleigh-Plesset equation and Abel's equation, and obtain the
parametric rational Weierstrass periodic solutions following the Abel route. In
the same Abel approach, we also provide a discussion of the nonintegrable case
of nonzero viscosity for which we perform a numerical integration
