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Importance - field
editSine-Gordon Breathers are types of solitons. The theory and the mathematical formula is included as a chapter, in general soliton theory text books (unfortunately the ones that I remember are not in English). The theory involved is importand for the study of nonlinear partial diferential equations (i.e. "inverse scatering transform", and "Lax pair" methods). There are posible extensions of the theory towards physics and biology.
Would like to rate this article, but cannot at the moment as the scope is unclear: for instance, is it related to breather solutions in the theory of solitons (see e.g. Sine-Gordon equation, which links here)? Geometry guy 19:34, 13 May 2007 (UTC)
Dab needed?
editAlso need disambiguation in that a breather is also a pressure relief device. I lack the expertise to write even that, though. 167.115.255.20 20:11, 3 August 2006
Merge
editI think merge with oscillon is bad idea. Better is to keep a separate article, and possibly to collect the images, animations of breathers arising in as solutions of different types of math equations. I have put the sine-Gordon breather images as illustrations of the current article. Danko Georgiev MD 04:03, 3 July 2007 (UTC)
- Question: I have read the definition of oscillon and I have obtained the impression that oscillon is type of breather, however the inverse is not true - not every breather is oscillon. If so, the person who inputted the information on oscillon, must delete the comment that standing breathers are called also *oscillons*. I heard this for first time in Wikipedia. Danko Georgiev MD 04:11, 3 July 2007 (UTC)