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A simple formula for the conserved charges of soliton theories

Ferreira, Luiz Agostinho; Zakrzewski, W.J.

Authors

Luiz Agostinho Ferreira

W.J. Zakrzewski



Abstract

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.

Citation

Ferreira, L. A., & Zakrzewski, W. (2007). A simple formula for the conserved charges of soliton theories. Journal of High Energy Physics, 2007(09), https://doi.org/10.1088/1126-6708/2007/09/015

Journal Article Type Article
Acceptance Date Aug 25, 2007
Publication Date Sep 3, 2007
Deposit Date Sep 21, 2007
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2007
Issue 09
DOI https://doi.org/10.1088/1126-6708/2007/09/015
Keywords Integrable hierarchies, Integrable equations in physics, Integrable field theories.
Related Public URLs http://arxiv.org/abs/0707.1603

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