On the stability of surface acoustic pulse trains in coated elastic media

Autor:	Alexander S. Kovalev, Gérard A. Maugin, A. P. Mayer, J. Schöllmann, C. Eckl
Rok vydání:	2001
Předmět:	Surface (mathematics) business.industry Applied Mathematics General Physics and Astronomy Mechanics Half-space Pulse (physics) Computational Mathematics symbols.namesake Optics Planar Surface wave Modeling and Simulation symbols Pulse wave Rayleigh wave business Dispersion (water waves) Mathematics
Zdroj:	Wave Motion. 34:35-49
ISSN:	0165-2125
DOI:	10.1016/s0165-2125(01)00068-3
Popis:	Coating a planar surface of a homogeneous elastic halfspace by a thin film gives rise to dispersion of Rayleigh waves that, together with the second-order nonlinearity of the substrate or surface nonlinearities, leads to the existence of surface acoustic solitary pulses. Their shapes are computed and their stability with respect to small changes of their initial conditions and partly to collisions with each other is analyzed numerically. The existence of gap solitary waves in the case of a periodically structured film is demonstrated, and periodic solitary pulse train solutions on a small oscillatory background are found. Their stability is investigated by means of a Floquet analysis.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3e2c91d6bf81b8a5d69e372fafacd9f7 https://doi.org/10.1016/s0165-2125(01)00068-3 Zobrazit plný text záznamu Full Text from ScienceDirect