Parametric analytical solution for the -dimensional Rayleigh equation

Abstract In this letter, we consider the N -dimensional Rayleigh equation for describing the dynamics of gas-filled spherical bubbles. In the spirit of Kudryashov and Sinelshchikov’s work in Refs. Kudryashov and Sinelshchikov (2014), (2015), (2016), a direct approach is first proposed to construct parametric analytical solution for this equation using trigonometric function. It provides us a simple but efficient way to construct analytical solutions of the bubble radius and period. As its applications, isothermal and adiabatic compressions are studied respectively. We show that both bubble radius and period decrease with the increase in the pressure ratio.

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