Wednesday, April 03, 2013
Unearthed: A Report I Wrote on the KdV Equation During College
Oh, wow. From some 'random' googling, I just found the rough draft of a report on the KdV equation that I wrote my senior year in college. This apparently got uploaded when various past things from courses that Jerry Marsden taught were collected, scanned, and uploaded. My exposition (including of the KdV equation!), my citation practices and being very thorough about giving proper credit for results and the exposition of others (right now, I think that my old report should have included specific statements of whose discussions I was following and not just citations to those papers), and my work on nonlinear waves has advanced a lot since that report -- though I think that one can see many hints of my current style in it. Certainly one can see some of my current research interests. I had completely forgotten about this old report. (My handwriting in parts of the report is almost exactly the same as now, though! :P) If you want to compare my old exposition to my current exposition, see the Scholarpedia entry on solitons that I wrote with Norm Zabusky. I should perhaps use this as before/after to show my students for certain assignments. I think this could be helpful for some interesting teaching opportunities. I'm not sure why the rough draft was uploaded, though. Maybe Jerry's copy of the final draft got lost?