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

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

2012-04-22

arxiv.org/abs/1204.4929v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

A one-dimensional Klein-Gordon lattice with nearest-neighbor interactions is studied. It is well known that this kind of systems can support multibreathers with phase differences between the successive oscillators $\phi_i=0, \pi$. In this paper we prove the non-existence of {\it phase-shift breathers} i.e. multibreathers with $\phi_i\neq0, \pi$ in this kind of systems. This fact also determines the linear stability of the existing configurations.

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