Analytical solutions for problems of bubble dynamics

• The Rayleigh equation for bubble's dynamics is considered.
• General analytical solutions of the Rayleigh equation are obtained.
• Various types of analytical solutions of the Rayleigh equation are studied.

Recently, an asymptotic solution of the Rayleigh equation for an empty bubble in N dimensions has been obtained. Here we give the closed-form 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.