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

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

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 …