Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models
High Energy Physics - Theory
2015-06-16 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1308.4412,
title = {Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models},
author = {L. A. Ferreira and Wojtek J. Zakrzewski},
journal= {arXiv preprint arXiv:1308.4412},
year = {2015}
}
Comments
33 pages, 19 figures, Reference added