cnoidal

Coined by Korteweg and 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 ${\displaystyle \mathrm {cn} (x|m)}$, and the term cnoidal was designed to be analogous to sinusoidal, the word describing waves which involve the sine function.

• IPA^(key): /ˈknɔɪd(ə)l/, /ˈnɔɪd(ə)l/

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cnoidal (not comparable)

1. (mathematics, physics) Describes a travelling wave whose amplitude is constricted; e.g. a wave in shallow water.

• dnoidal
• snoidal

• aldonic, cadinol, nodical