Sorry I was very new to the topic earlier and had no real idea. I have done some reading and I think I am progressing in terms of understanding.
My main remaining question is this:
Can I predict the amplitude of the solitons using the KdV equation? I mean the solution to the equation gives me the wave profile if I am not mistaken, that is assuming you know the variables required. In my case I have all the variables except the soliton amplitude (as I want to predict this) therefore the solution is of no help to me as I also do not have the wave profile.
I hope my question makes sence, and once again Thanks Studiot!