TY - JOUR
T1 - Discrete breathers close to the anticontinuum limit
T2 - Existence and wave scattering
AU - Flach, S.
AU - Dorignac, J.
AU - Miroshnichenko, A. E.
AU - Fleurov, V.
PY - 2003/9/30
Y1 - 2003/9/30
N2 - The anticontinuum limit (i.e. the limit of weakly coupled oscillators) is used to obtain two surprising results. First we prove the continuation of discrete breathers of weakly interacting harmonic oscillators, provided a suitable coupling is chosen. Secondly we derive an analytical result for the wave transmission by a breather of the discrete non-linear Schrödinger equation at weak coupling. We obtain a resonant full reflection due to a Fano resonance.
AB - The anticontinuum limit (i.e. the limit of weakly coupled oscillators) is used to obtain two surprising results. First we prove the continuation of discrete breathers of weakly interacting harmonic oscillators, provided a suitable coupling is chosen. Secondly we derive an analytical result for the wave transmission by a breather of the discrete non-linear Schrödinger equation at weak coupling. We obtain a resonant full reflection due to a Fano resonance.
UR - http://www.scopus.com/inward/record.url?scp=0344013074&partnerID=8YFLogxK
U2 - 10.1142/s0217979203021988
DO - 10.1142/s0217979203021988
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AN - SCOPUS:0344013074
SN - 0217-9792
VL - 17
SP - 3996
EP - 4002
JO - International Journal of Modern Physics B
JF - International Journal of Modern Physics B
IS - 22-24 I
ER -