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

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

Journal of Applied Mathematics, 2012, vol. 2012, 1-20

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:591058

DOI: 10.1155/2012/591058

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