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

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  • F. A. Godínez
  • M. A. Escobedo
  • M. Navarrete

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.

Suggested Citation

  • F. A. Godínez & M. A. Escobedo & M. Navarrete, 2012. "Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-20, September.
    • Handle: RePEc:hin:jnljam:591058
    DOI: 10.1155/2012/591058
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