Talk:Soliton
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[edit] Some suggestions
The inverse scattering transform technique is universally regarded as a landmark in the theory of partial differential equations and applied mathematics in general, so I think it amply deserves its own article, which this article should cite. The proposed article on inverse scattering should probably also mention applications to exact solutions of Einstein's field equations as well as to solving the Korteweg-de Vries equation and sine-Gordon equation.
I think this article should also mention the closely related concept of a completely integrable system, and the observation of Shiing-Shen Chern that these can be formulated in terms of appropriate flat (zero curvature) connections. ---CH
P.S. Hi, MarSch, I just noticed you seem to have a link to a web page owned by someone I know at the top of your user page! ---CH
- Yeah, I came across it and I thought that was a good place to store it. I don't know that person though. --MarSch 14:56, 24 Jun 2005 (UTC)
Someone should should add some info about other areas that solitons show up, like plasmas.
[edit] Photos?
Anyone got a decent soliton photo? Perhaps a tidal bore that's transitioned or a canal example...? UmptanumRedux 23:29, 30 June 2006 (UTC)
- I added a link to a great photo of a Soliton. --Nick 17:45, 6 July 2006 (UTC)
[edit] Relationship between a Standing Wave and a Soliton?
Could someone please add some text explaining the relationship between a Soliton and a Standing Wave? They seem to be intimately related. See how both are discussed in the article on Modelocking. For example, is it accurate to describe a Soliton as a "Travelling" Standing Wave? Or a Standing Wave as a Stationary Soliton? --Nick 17:44, 6 July 2006 (UTC)
