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Solitary Waves - Velocity vs wave height

  1. Jan 30, 2012 #1
    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?

    Thanks in advance.
  2. jcsd
  3. Jan 30, 2012 #2


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    Gold Member

    Hope these help.

    "the solitary wave observed by John Scott Russell and shows that the peak amplitude is exactly half the speed."

    "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
  4. Jan 31, 2012 #3
    Thanks Bobbywhy.
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