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Solitons
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Waves that keep their shape while travelling.
Solitary waves that keep their shape and speed over long distances because nonlinearity balances dispersion; they pass through each other unchanged. Examples: tidal bores, optical fibre pulses.
John Scott Russell followed a canal wave for miles in 1834.
Found in the KdV equation.
In more detail
A soliton is a solitary wave that keeps its shape while travelling, because nonlinear effects balance dispersion. Solitons appear in water channels, optical fibres and other media.
Real-world uses
- Solitons in optical fibres carry signals over long distances without spreading.
- Scientists study solitons in water channels to understand nonlinear waves.
- Fibre-optic communication uses solitons, pulses that keep their shape over long distances, to carry data without distortion.
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Frequently asked questions
Why does a soliton keep its shape?
Nonlinearity focuses the wave while dispersion spreads it, and the two effects cancel.
Who first observed solitons?
John Scott Russell observed a solitary wave in a canal in 1834.
How does a soliton keep its shape?
Its nonlinear effects balance the spreading due to dispersion, so the pulse remains stable as it travels.
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