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

Ferreira, L.A.; Zakrzewski, W.J.

Abstract

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.

Citation

Ferreira, L., & Zakrzewski, W. (2014). Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models. Journal of High Energy Physics, 2014(1), Article 058. https://doi.org/10.1007/jhep01%282014%29058

• Journal Article Type: Article
• Acceptance Date: Dec 15, 2013
• Online Publication Date: Jan 15, 2014
• Publication Date: Jan 15, 2014
• Deposit Date: Jan 29, 2015
• Publicly Available Date: Aug 22, 2016
• 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: 2014
• Issue: 1
• Article Number: 058
• DOI: https://doi.org/10.1007/jhep01%282014%29058
• Public URL: https://durham-repository.worktribe.com/output/1413514