Abstract
We consider the dynamics of fluxons in two weakly coupled long Josephson transmission lines with localized impurities. The transmission, the pinning and the destruction of the bifluxon mode are obtained. In the case when there is a collision of a free fluxon belonging to one line with a pinned fluxon of the other line, we also observed three outcomes: capture of both fluxons; elastic collision; transmission of both fluxons at the impurity site.
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