TY - JOUR
T1 - Multibreather stability in discrete Klein-Gordon equations
T2 - Beyond nearest neighbor interactions
AU - Rapti, Zoi
PY - 2013/9/16
Y1 - 2013/9/16
N2 - We present results on multibreather stability in one-dimensional nonlinear Klein-Gordon chains. Our analysis is based on Aubry's band theory and perturbation theory. First, we provide an alternative proof of the stability of multibreathers in a chain with nearest neighbor interactions only. Then, we extend our analysis to the case of interactions with up to three neighbors. For next-nearest neighbor and third-nearest neighbor interactions we also extend the theory to study the stability properties of recently found multibreathers that have nonstandard phase shifts (not equal to 0 or π).
AB - We present results on multibreather stability in one-dimensional nonlinear Klein-Gordon chains. Our analysis is based on Aubry's band theory and perturbation theory. First, we provide an alternative proof of the stability of multibreathers in a chain with nearest neighbor interactions only. Then, we extend our analysis to the case of interactions with up to three neighbors. For next-nearest neighbor and third-nearest neighbor interactions we also extend the theory to study the stability properties of recently found multibreathers that have nonstandard phase shifts (not equal to 0 or π).
KW - Discrete Klein-Gordon equations
KW - Multibreathers
KW - Stability
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U2 - 10.1016/j.physleta.2013.04.035
DO - 10.1016/j.physleta.2013.04.035
M3 - Article
AN - SCOPUS:84877576260
SN - 0375-9601
VL - 377
SP - 1543
EP - 1553
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 23-24
ER -