Wave scattering by discrete breathers
نویسندگان
چکیده
منابع مشابه
Wave scattering by discrete breathers.
We present a theoretical study of linear wave scattering in one-dimensional nonlinear lattices by intrinsic spatially localized dynamic excitations or discrete breathers. These states appear in various nonlinear systems and present a time-periodic localized scattering potential for plane waves. We consider the case of elastic one-channel scattering, when the frequencies of incoming and transmit...
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A. E. Miroshnichenko,1 M. Schuster,2 S. Flach,3 M. V. Fistul,4 and A. V. Ustinov2 1Nonlinear Physics Centre, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia 2Physikalisches Institut III, Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany 3Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dres...
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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 nonlinear Schrödinger equation at weak coupling. W...
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ژورنال
عنوان ژورنال: Chaos: An Interdisciplinary Journal of Nonlinear Science
سال: 2003
ISSN: 1054-1500,1089-7682
DOI: 10.1063/1.1561627