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

2012/04/22 by Vassilis Koukouloyannis, Koukouloyannis, Vassilis
Physics and Astronomy · #37K60 #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #msc:37K60 #nlin.PS

paper · pdf · doi:10.48550/arxiv.1204.4929

arxiv created 2013/05/22 · arxiv updated 2013/05/24

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 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≠0, π) cannot be supported. This fact also determines the linear stability of the existing multibreathers.

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