cnoidal

English dictionary entry

Meanings

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

Pronunciation

/ˈknɔɪd(ə)l/ /ˈnɔɪd(ə)l/ LL-Q1860 (eng)-Vealhurl-cnoidal.wav LL-Q1860 (eng)-Vealhurl-cnoidal2.wav

Word forms

cnoidal

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.

Related words

dnoidal snoidal
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