A simple formula for the conserved charges of soliton theories

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dc.creatorFerreira, L. A.
dc.creatorZakrzewski, Wojtek J.
dc.date2007-07-11
dc.date2007-08-27
dc.date.accessioned2026-07-07T13:09:36Z
dc.date.available2026-07-07T13:09:36Z
dc.descriptionWe 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.
dc.description26 pages, plain latex, 1 eps figure, In this second version the example of the mKdV equation was added in section 4.1, and a paragraph was added in the introduction. Version to be published in JHEP (Journal of High Energy Physics)
dc.identifierhttps://arxiv.org/abs/0707.1603
dc.identifierhttp://arxiv.org/abs/0707.1603
dc.identifierJHEP 0709:015,2007
dc.identifierdoi:10.1088/1126-6708/2007/09/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228788
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleA simple formula for the conserved charges of soliton theories
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