Talk:Sine-Gordon equation

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discussion of the significance and physical interpretation of the sine gordon model would be useful for non technical readers. and perhaps... even technical readers. as of yet, there is just a description of the terminology, but not why the theory is interesting, or who developed it.Wilgamesh 16:34, 22 October 2005 (UTC)

I will try to update the article in the next few days. I think the elastic ribbon visualizations released by me in the public domain will be of help for nonspecialists interested to get acquainted with the soliton concept. Danko Georgiev MD 14:18, 15 January 2007 (UTC)

The animations of various soliton solutions of the sine-Gordon equation are very nice, though a bit mysterious with all the arrows and twisting matter -- we cannot assume the reader is familiar with Dodd's elastic-ribbon analogy. More importantly, many browsers (e.g., Firefox on *nix) get overwhelmed when that many GIFs have to be rendered simultaneously. Perhaps there is a way to make it so they aren't animated until the reader clicks on them? Evilmathninja 22:57, 22 January 2007 (UTC)

And on a slightly different note: the convention in the literature is to include a -1 in the Lagrangian density, which of course doesn't change anything, but assures that the Lagrangian (the integral of the Lagrangian density over all of space) will converge. Then, that also improves the analogy with the Klein-Gordon Lagrangian density, as there is no longer the need to subtract 1 from the sine-Gordon Lagrangian density. Just a thought. Evilmathninja 23:06, 22 January 2007 (UTC)

Hello, the animations are produced by Maple 5.0, and I am not a specilaist in animations, so I don't know what should I do to edit them in the way suggested by you. They are released under GFDL license, so anyone who knows what to do, can edit the animations any way he/she likes. See also the pendulum model, and the plain 2D model at Miroshnichenko's web. By the way I use almost exclusively Wolfram's Mathematica 5.2, that is why the algorithms for Maple are not written by me but by Miroshnichenko and colleagues. Regards, Danko Georgiev MD 02:14, 5 February 2007 (UTC)