Anyone here experienced at all with it? Well, anyone here knows the solution? I have a few steps I need explaining but I kinda don't want to Latex it out if no one ever took interest in it D: Well, a more general query is where the initial data for KdV fits into the transform. As in, does the initial data for KdV influence what we use as the scattering data or something? Still quite confused about the process. If anyone could make a bullet point list of roughly what goes on, that would be helpful actually. It's all a bit of a blur. Or if anyone could point me to some material, that'd do.