On the wing behaviour of the overtones of self-localized modes

Autor:	M. Wagner, R. Dusi
Rok vydání:	1998
Předmět:	Physics Overtone Gaussian Mathematical analysis Anharmonicity Mode (statistics) Statistical and Nonlinear Physics Condensed Matter Physics symbols.namesake Nonlinear system Classical mechanics Chain (algebraic topology) Quartic function Exponent symbols
Zdroj:	Physica D: Nonlinear Phenomena. 119:99-108
ISSN:	0167-2789
DOI:	10.1016/s0167-2789(98)00067-0
Popis:	In this paper the solutions for self-localized modes in a nonlinear chain are investigated. We present a converging iteration procedure, which is based on analytical information of the wings and which takes into account higher overtones of the solitonic oscillations. The accuracy is controlled in a step by step manner by means of a Gaussian error analysis. Our numerical procedure allows for highly accurate solutions, in all anharmonicity regimes, and beyond the rotating-wave approximation (RWA). It is found that the overtone wings change their analytical behaviour at certain critical values of the energy of the self-localized mode: there is a turnover in the exponent of descent. The results are shown for a Fermi-Pasta-Ulam (FPU) chain with quartic anharmonicity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fc436d30cffe1038ba2740f1f00e3f8c https://doi.org/10.1016/s0167-2789(98)00067-0 Zobrazit plný text záznamu Full Text from ScienceDirect