Journal of Applied Mathematics

Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble

F. A. Godínez, M. A. Escobedo, and M. Navarrete

Full-text: Open access

Abstract

The homotopy analysis method is used to obtain analytical solutions of the Rayleigh equation for the radial oscillations of a multielectron bubble in liquid helium. The small order approximations for amplitude and frequency fit well with those computed numerically. The results confirm that the homotopy analysis method is a powerful and manageable tool for finding analytical solutions of strongly nonlinear dynamical systems.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 591058, 20 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495296

Digital Object Identifier
doi:10.1155/2012/591058

Mathematical Reviews number (MathSciNet)
MR2970438

Zentralblatt MATH identifier
1251.76038

Citation

Godínez, F. A.; Escobedo, M. A.; Navarrete, M. Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble. J. Appl. Math. 2012 (2012), Article ID 591058, 20 pages. doi:10.1155/2012/591058. https://projecteuclid.org/euclid.jam/1355495296


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