Non-Existence of phase-shift breathers in one-dimensional Klein-Gordon lattices with nearest-neighbor interactions

Vassilis Koukouloyannis

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arXiv · 1204.4929

Non-Existence of phase-shift breathers in one-dimensional Klein-Gordon lattices with nearest-neighbor interactions

Vassilis Koukouloyannis

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Abstract

It is well known that one-dimensional Klein-Gordon lattices with nearest-neighbor interactions can support multibreathers with phase differences between the successive "central" oscillators $ϕ_i=0\ \mbox{or}\ π$ (standard configurations). In this paper we prove that in this kind of systems, the standard configurations are the only possible ones, so phase-shift breathers (configurations with $ϕ_i\neq0,\, π$) cannot be supported. This fact also determines the linear stability of the existing multibreathers.

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Vassilis Koukouloyannis. 2013-05-22. Non-Existence of phase-shift breathers in one-dimensional Klein-Gordon lattices with nearest-neighbor interactions. https://arxiv.org/abs/1204.4929

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