cnoidal.
Describes a travelling wave whose amplitude is constricted; e.g. a wave in shallow water.
Meaning & usage
Describes a travelling wave whose amplitude is constricted; e.g. a wave in shallow water.
Where this word comes from
Coined by Diederik Korteweg and Gustav de Vries in their paper in Philosophical Magazine (1895, series 5, vol. 39, pp. 422-443) to describe a class of solutions to the KdV equation which involve a Jacobi elliptic function. The Jacobi elliptic function involved is commonly written as cn(x|m), and the term cnoidal was designed to be analogous to sinusoidal, the word describing waves which involve the sine function.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.