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论文类型：期刊论文

发表时间：2018-02-01

发表刊物：APPLIED MATHEMATICS LETTERS

收录刊物：SCIE、EI

卷号：76

页面范围：8-13

ISSN号：0893-9659

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

摘要：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.