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Homotopy analysis method for the Rayleigh equation governing the radial dynamics of a multielectron bubble - MaRDI portal

Homotopy analysis method for the Rayleigh equation governing the radial dynamics of a multielectron bubble (Q1760759)

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scientific article; zbMATH DE number 6106258
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Homotopy analysis method for the Rayleigh equation governing the radial dynamics of a multielectron bubble
scientific article; zbMATH DE number 6106258

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    Homotopy analysis method for the Rayleigh equation governing the radial dynamics of a multielectron bubble (English)
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    15 November 2012
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    Summary: 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.
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    radial oscillations
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    multielectron bubble
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    liquid helium
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