Cnoidal Waves from Korteweg-de Vries Equation

η

2

3.

H

2.3

m

0.9

x

0.26

c

1.

λ

0.46

0.0

0.2

0.4

0.6

0.8

1.0

1

2

3

4

5

A cnoidal wave is an exact periodic traveling-wave solution of the Korteweg–de Vries (KdV) equation, first derived by them in 1895. Such a wave describes surface waves whose wavelength is large compared to the water depth.