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Abstract
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Inspired by the well known sine-Gordon equation, we present a symmetric coupled system
of two real scalar fields in 1 1 dimensions. There are three different topological soliton
solutions which be labelled according to their topological charges. These solitons can absorb some localized non-dispersive wave packets in collision processes. It will be shown
numerically, during collisions between solitons, there will be an uncertainty which originates from the amount of the maximum amplitude and arbitrary initial phases of the
trapped wave packets.
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