Mathematics, Physics.
a solution of a certain type of partial differential equation that represents a solitary wave.
(loosely) a solitary wave.

1960–65; solit(ary) + -on1 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
soliton (ˈsɒlɪˌtɒn)
physics an isolated particle-like wave that is a solution of certain equations for propagation, occurring when two solitary waves do not change their form after collision and subsequently travelling for considerable distances
[C20: from solit(ary) + -on]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
However, a temporal optical soliton has never been observed at the scale of integrated photonics.
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