Axisymmetric solitary waves on the surface of a ferrofluid
Elise Bourdin (MSC), Jean-Claude Bacri (MSC), Eric Falcon (MSC)

TL;DR
This paper reports the first experimental observation of axisymmetric solitary waves on a ferrofluid surface, confirming theoretical models and measuring wave velocities and dispersion relations.
Contribution
It presents the first experimental observation and measurement of axisymmetric solitary and linear waves on a ferrofluid surface, validating theoretical predictions.
Findings
Observation of both elevation and depression solitary waves.
Wave profiles match theoretical predictions based on magnetic Korteweg-deVries equation.
Measured wave velocities and dispersion relations agree with theory.
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.
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