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Self focusing of acoustically excited Faraday ripples on a bubble wall

Self focusing of acoustically excited Faraday ripples on a bubble wall
Self focusing of acoustically excited Faraday ripples on a bubble wall
A theoretical explanation is presented to explain pattern formation during the generation of Faraday waves on a bubble wall. The theory derives the Hamiltonian formulation of the nonlinear bubble dynamics. The nonlinear Schrödinger equation for the envelope of surface modes on the bubble wall has been obtained. The solitary wave solution predicts that the shape distortions should be localized near the equator of the bubble.
bubble, faraday ripples, hamiltonian dynamics, solitary wave
0375-9601
3210-3216
Maksimov, Alexey O.
ee599fdf-28e9-460e-8175-21cdaa7f2f16
Leighton, Timothy G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Birkin, Peter R.
ba466560-f27c-418d-89fc-67ea4f81d0a7
Maksimov, Alexey O.
ee599fdf-28e9-460e-8175-21cdaa7f2f16
Leighton, Timothy G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Birkin, Peter R.
ba466560-f27c-418d-89fc-67ea4f81d0a7

Maksimov, Alexey O., Leighton, Timothy G. and Birkin, Peter R. (2008) Self focusing of acoustically excited Faraday ripples on a bubble wall. Physics Letters A, 372 (18), 3210-3216. (doi:10.1016/j.physleta.2008.01.041).

Record type: Article

Abstract

A theoretical explanation is presented to explain pattern formation during the generation of Faraday waves on a bubble wall. The theory derives the Hamiltonian formulation of the nonlinear bubble dynamics. The nonlinear Schrödinger equation for the envelope of surface modes on the bubble wall has been obtained. The solitary wave solution predicts that the shape distortions should be localized near the equator of the bubble.

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More information

Published date: 28 April 2008
Keywords: bubble, faraday ripples, hamiltonian dynamics, solitary wave
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Identifiers

Local EPrints ID: 148649
URI: http://eprints.soton.ac.uk/id/eprint/148649
DOI: doi:10.1016/j.physleta.2008.01.041
ISSN: 0375-9601
PURE UUID: 9d01d2ba-2e62-4c66-854b-a3d7e47e63d7
ORCID for Timothy G. Leighton: ORCID iD orcid.org/0000-0002-1649-8750
ORCID for Peter R. Birkin: ORCID iD orcid.org/0000-0002-6656-4074

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Date deposited: 30 Apr 2010 08:36
Last modified: 14 Mar 2024 02:37

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Contributors

Author: Alexey O. Maksimov
Author: Timothy G. Leighton ORCID iD
Author: Peter R. Birkin ORCID iD

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