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Durham University

Department of Mathematical Sciences

Staff

Publication details for Professor Emeritus Wojtek Zakrzewski

Ferreira, L.A. & Zakrzewski, W.J. (2014). Numerical and analytical tests of quasi-integrability in modified Sine-Gordon models. Journal of High Energy Physics 2014(1): 058.

Author(s) from Durham

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.