Radiative annihilation of a soliton and an antisoliton in the coupled sine-Gordon equation
2012 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 85, no 13, 134525- p.Article in journal (Refereed) Published
In the sine-Gordon equation solitons and antisolitons in the absence of perturbations do not annihilate. Here, I present numerical analysis of soliton-antisoliton collisions in the coupled sine-Gordon equation. It is shown that in such a system, soliton-antisoliton pairs (breathers) do annihilate even in the absence of perturbations. The annihilation occurs via a logarithmic-in-time decay of a breather caused by emission of plasma waves in every period of breather oscillations. This also leads to a significant coupling between breathers and propagating waves, which may lead to self-oscillations at the geometrical resonance conditions in a dc-driven system. The phenomenon may be useful for achieving superradiant emission from coupled oscillators.
Place, publisher, year, edition, pages
2012. Vol. 85, no 13, 134525- p.
IdentifiersURN: urn:nbn:se:su:diva-80298DOI: 10.1103/PhysRevB.85.134525ISI: 000303192500007OAI: oai:DiVA.org:su-80298DiVA: diva2:556497