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Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models.

Ferreira, L.A. and Zakrzewski, W.J. (2014) 'Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models.', Journal of high energy physics., 2014 (1). 058.


Following our attempts to define quasi-integrability in which we related this concept to a particular symmetry of the two-soliton function we check this condition in three classes of modified sine-Gordon models in (1 + 1) dimensions. We find that the numerical results seen in various scatterings of two solitons and in the time evolution of breather-like structures support our ideas about the symmetry of the field configurations and its effects on the anomalies of the conservation laws of the charges.

Item Type:Article
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Publisher statement:Open Access, © Author(s) 2014 Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:15 December 2013
Date deposited:22 August 2016
Date of first online publication:15 January 2014
Date first made open access:No date available

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