Standard Lemma guide

cnoidal

adj · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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  • /ˈknɔɪd(ə)l/
  • /ˈnɔɪd(ə)l/
  • Southern-England: Recorded audio is listed in the source snapshot.
  • Southern-England: Recorded audio is listed in the source snapshot.

1

adj

Meaning 1

Describes a travelling wave whose amplitude is constricted; e.g. a wave in shallow water.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, natural-sciences, physical-sciences, physics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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.

Across languages

Translations

3 source translations are retained for this English entry.

  • French: cnoïdal — Translations
  • Italian: cnoidale — Translations
  • Russian: кноида́льный (knoidálʹnyj) — Translations