Radiative annihilation of a soliton and an antisoliton in the coupled sine-Gordon equation

Article

关键词: STACKED JOSEPHSON-JUNCTIONS;    CHERENKOV RADIATION;    ANALYTIC SOLUTION;    FLUXON;    LONG;    MODES;    FIELD;    SUPERCONDUCTORS;    EMISSION;    DYNAMICS;   

DOI  :  10.1103/PhysRevB.85.134525

来源: SCIE

【 摘 要 】

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.

【 授权许可】

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