Definition:Soliton

Definition

A soliton is a water wave whose form can be described by a solution to the Korteweg-de Vries equation.

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Also see

• Results about solitons can be found here.

Historical Note

Solitons were first observed by John Scott Russell in $1834$.

They exhibit remarkable properties of stability.

Their existence was mathematically justified by the work of Diederik Johannes Korteweg and Gustav de Vries in $1895$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): integrable system
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): integrable system