# Solitary Waves - Velocity vs wave height

1. Jan 30, 2012

### quid

Hi all,

I am quite new to the topic of solitary waves. All I know is that somehow equations like the KdV equation give solutions to predict the behaviour of solitary waves.

I have read in a couple of places that the velocity of the wave is proportional to the wave height. I am wondering if that is the case then say a solitary water wave of velocity say 3m/s have only one possible wave height? Which could potentially be determined by using the KdV equation?

2. Jan 30, 2012

### Bobbywhy

Hope these help.

"the solitary wave observed by John Scott Russell and shows that the peak amplitude is exactly half the speed."
http://www.tu-chemnitz.de/physik/KSND/abb/node6.html

"The speed of these solitary waves depends on the height of the wave, so the taller wave is faster than the shorter wave."
http://www.kettering.edu/physics/drussell/Demos/Solitons/solitons.html [Broken]

Last edited by a moderator: May 5, 2017
3. Jan 31, 2012

### quid

Thanks Bobbywhy.