4.4 Article

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

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP01(2014)058

Keywords

Integrable Field Theories; Integrable Hierarchies; Integrable Equations in Physics; Solitons Monopoles and Instantons

Funding

  1. CNPq (Brazil)
  2. Royal Society
  3. STFC [ST/J000426/1] Funding Source: UKRI
  4. Science and Technology Facilities Council [ST/J000426/1] Funding Source: researchfish

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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.

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