Cylindrical Korteweg-de Vries solitons on a ferrofluid surface

Details Cylindrical Korteweg-de Vries solitons on a ferrofluid surface Cylindrical Korteweg-de Vries solitons on a ferrofluid surface

2005-12-20

arxiv.org/abs/physics/0512185v2

Physics

Fluid Dynamics

Scientific paper

10.1088/1367-2630/8/6/108

Linear and non-linear surface waves on a ferrofluid cylinder surrounding a current-carrying wire are investigated. Suppressing the Rayleigh-Plateau instability of the fluid column by the magnetic field of a sufficiently large current in the wire axis-symmetric surface deformations are shown to propagate without dispersion in the long wavelength limit. Using multiple scale perturbation theory the weakly non-linear regime may be described by a Korteweg-de Vries equation with coefficients depending on the magnetic field strength. For different values for the current in the wire hence different solutions such as hump or hole solitons may be generated. The possibility to observe these structures in experiments is also elucidated.

Affiliated with

Also associated with

No associations

Rating

Cylindrical Korteweg-de Vries solitons on a ferrofluid surface does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cylindrical Korteweg-de Vries solitons on a ferrofluid surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cylindrical Korteweg-de Vries solitons on a ferrofluid surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662456