Instability of breathers in the topological discrete sine-Gordon system
نویسنده
چکیده
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.
منابع مشابه
Breathers in the weakly coupled topological discrete sine-Gordon system
Existence of breather (spatially localized, time periodic, oscillatory) solutions of the topological discrete sine-Gordon (TDSG) system, in the regime of weak coupling, is proved. The novelty of this result is that, unlike the systems previously considered in studies of discrete breathers, the TDSG system does not decouple into independent oscillator units in the weak coupling limit. The result...
متن کاملar X iv : h ep - t h / 98 02 13 7 v 2 6 J ul 1 99 8 Breathers in the weakly coupled topological discrete sine - Gordon system
Existence of breather (spatially localized, time periodic, oscillatory) solutions of the topo-logical discrete sine-Gordon (TDSG) system, in the regime of weak coupling, is proved. The novelty of this result is that, unlike the systems previously considered in studies of discrete breathers, the TDSG system does not decouple into independent oscillator units in the weak coupling limit. The resul...
متن کاملar X iv : h ep - t h / 98 02 13 7 v 1 1 9 Fe b 19 98 Breathers in the weakly coupled topological discrete sine - Gordon system
Existence of breather (spatially localized, time periodic, oscillatory) solutions of the topo-logical discrete sine-Gordon (TDSG) system, in the regime of weak coupling, is proved. The novelty of this result is that, unlike the systems previously considered in studies of discrete breathers, the TDSG system does not decouple into independent oscillator units in the weak coupling limit. The resul...
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