Observation of axisymmetric solitary waves

on the surface of a ferrofluid

E. Bourdin, J.-C. Bacri and E. Falcon
 
MSC, Université Paris Diderot - Paris 7, CNRS, 75 013 Paris, France

Reference:  Physical Review Letters 104, 094502 (2010)

Abstract:

We report the first observation of axisymmetric solitary waves on the surface of a cylindrical magnetic fluid layer surrounding a current-carrying metallic tube. According to the ratio between the magnetic and capillary forces, both elevation and depression solitary waves are observed with profiles in good agreement with theoretical predictions based on the magnetic analogue of the Korteweg-deVries equation. We also report the first measurements of the velocity and the dispersion relation of axisymmetric linear waves propagating on the cylindrical ferrofluid layer that are found in good agreement with theoretical predictions.

Keywords: Solitary wave - soliton - ferrofluid - axisymmetric waves - KdV soliton - Korteweg-de Vries - experiment - magnetic waves - depression - elevation - dispersion relation - magnetic fluid


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