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

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.

33 pages, 19 figures, Reference added

References in corpus (4)

• Some aspects of self-duality and generalised BPS theories
• The concept of quasi-integrability: a concrete example
• Classical behavior of deformed sine-Gordon models
• A simple formula for the conserved charges of soliton theories

Cited by in corpus (5)

• Scattering of compact oscillons
• Quasi-Integrability in Supersymmetric Sine-Gordon Models
• Nontopological self-dual Maxwell-Higgs vortices
• Breather-like structures in modified sine-Gordon models
• Quasi-Integrable Deformations of the Bullough-Dodd model