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The affective factors on the uncertainty in the collisions of the soliton solutions of the double field sine-Gordon system. (English) Zbl 1464.81034

Summary: 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.

MSC:

81R12 Groups and algebras in quantum theory and relations with integrable systems
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
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