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What are solitons?

What are solitons? Here are some definitions.

Noun
  1. plural of soliton
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Examples
Such DNA solitons have two connected types of memory.
Paolo Di Trapani of the University of Insubria in Como, Italy, and his colleagues, came up with a pulse shape that combines attributes of both solitons and linear X waves.
It plans to be the first company to combine solitons with WDM in a commercial product. The most immediate application for the new technology is in long-distance transmission.
I am working on the formation of bubbles of light in dissipative systems known as localised spatial structures or cavity solitons.
The atoms were manipulated to form tidy bundles of waves, called solitons, which retained their shape and strength.
In the 1970s, researchers found that solitons can be used to transmit data down fibre-optic cables.

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