Abstract
We describe fundamental mechanisms for growth and decay of weakly perturbed discrete breathers, within a Discrete Nonlinear Schrödinger (DNLS) model. A multi-scale perturbation expansion is used to obtain the slow adiabatic time evolution of the breather frequency, where also the DNLS conservation laws can be used. Exciting a single localized breather internal mode is found to always lead to asymptotic breather growth, while interaction between the breather and single extended phonon modes may lead to breather growth only for small phonon wave vectors. Breather decay is found only when two or more independent modes are excited. The mechanisms for breather growth and decay involve nonlinear generation of radiating higher-harmonics, and disappear to lowest order for breathers larger than a threshold value.
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© 2001 Springer Science+Business Media Dordrecht
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Johansson, M. (2001). Growth and Decay of Weakly Perturbed Discrete Breathers. In: Abdullaev, F., Bang, O., Sørensen, M.P. (eds) Nonlinearity and Disorder: Theory and Applications. NATO Science Series, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0542-5_15
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DOI: https://doi.org/10.1007/978-94-010-0542-5_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0192-5
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