Stability, instability and interaction of solitary pulses in a composite medium
type: Item
instance of: scholarly article
title: Stability, instability and interaction of solitary pulses in a composite medium
zbMATH Open document ID: 1062.74026
DOI: 10.1016/S0997-7538(01)01189-5
author: R. Smith
published in: European Journal of Mechanics. A. Solids
publication date: 2002-09-05T00:00:00Z
review text: The stability (instability) of soliton-like solutions (solitary pulses) in nonlinear isotropic (anisotropic) composite materials is investigated. It is worth mentioning that the presence of several components can give interesting properties (such as dispersion) which are not present in each separate component. Two kind of instabilities are investigated: the blow-up one, and that related to to the energy exchange between the components of the strain tensor. It is also important to mention that the stability is closely related to the possibility of observing the phenomenon. Investigations are carried by numerical means, and suggestive plots are presented.
Mathematics Subject Classification ID: 74J35
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1797031
zbMATH Keywords: blow-up instability
zbMATH Keywords: energy exchange
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1797031