cnoidal

English

Etymology

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 , and the term cnoidal was designed to be analogous to sinusoidal, the word describing waves which involve the sine function.

Pronunciation

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

cnoidal (not comparable)

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

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