Instability of breathers in the topological discrete sine-Gordon system
arXiv:hep-th/0105074 · doi:10.1088/0951-7715/14/4/311
Abstract
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.
7 pages