Instability of breathers in the topological discrete sine-Gordon system
classification
✦ hep-th
keywords
discretebreatherssine-gordonspectrallysystemtopologicalalwaysbreather
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It is demonstrated that the breather solutions recently discovered in the weakly coupled topological discrete sine-Gordon system are spectrally unstable. This is in contrast with more conventional spatially discrete systems, whose breathers are always spectrally stable at sufficiently weak coupling.
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