On KdV solitons in electrohydrodynamics

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electrohydrodynamics, Flow Stability, Gravity Waves, Korteweg-Devries Equation, Solitary Waves, Wave Propagation, Conducting Fluids, Electric Field Strength, Propagation Velocity, Shallow Water

Scientific paper

The evolution of surface waves in a perfectly conducting
electrohydrodynamic fluid is governed by a Korteweg-de Vries equation.
The velocity of the soliton is found to be independent of the electric
field, while its width increases with the increase of the electric
field.

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