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.