Analytical solutions for problems of bubble dynamics
  Recently, an asymptotic solution of the Rayleigh equation for an empty bubble in $N$ dimensions has been obtained. Here we give the closed--from general analytical solution of this equation. We also find the general solution of the Rayleigh equation in $N$ dimensions for the case of a gas--filled hyperspherical bubble. In addition, we include a surface tension into consideration. 
Nikolai A. Kudryashov and Dmitry I. Sinelshchikov
nlin.SI math.CA physics.flu-dyn