期刊论文

Qin, Yupeng

Wang, Z (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China.

Wang, Zhen,Zou, Li,He, Mingfeng

2018-02-01

APPLIED MATHEMATICS LETTERS

SCIE、EI

J

76

8-13

0893-9659

N-dimensional Rayleigh equation; Spherical bubble; A novel direct approach; Parametric analytical solution

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. (C) 2017 Elsevier Ltd. All rights reserved.