Instability of breathers in the topological discrete sine-Gordon system

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages

Scientific paper

10.1088/0951-7715/14/4/311

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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