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A simple formula for the conserved charges of soliton theories.

Ferreira, L. A. and Zakrzewski, W. J. (2007) 'A simple formula for the conserved charges of soliton theories.', Journal of high energy physics., 2007 (09). 015.


We present a simple formula for all the conserved charges of soliton theories, evaluated on the solutions belonging to the orbit of the vacuum under the group of dressing transformations. For pedagogical reasons we perform the explicit calculations for the case of the sine-Gordon model, taken as a prototype of soliton theories. We show that the energy and momentum are boundary terms for all the solutions on the orbit of the vacuum. That orbit includes practically all the solutions of physical interest, namely solitons, multi-solitons, breathers, and combinations of solitons and breathers. The example of the mKdV equation is also given explicitly.

Item Type:Article
Keywords:Integrable hierarchies, Integrable equations in physics, Integrable field theories.
Full text:PDF (arXiv version) - Other (312Kb)
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Publisher statement:© SISSA 2007. Published by IOP Publishing for SISSA. This is an author-created, un-copyedited version of an article accepted for publication in Journal of high energy physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1126-6708/2007/09/015.
Record Created:21 Sep 2007
Last Modified:17 Jun 2015 12:30

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