Strongly nonlinear transverse perturbations in phononic crystals
type: Item
instance of: scholarly article
title: Strongly nonlinear transverse perturbations in phononic crystals
zbMATH Open document ID: 1469.82033
DOI: 10.1155/2014/348920
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The dynamics of the surface heterogeneities formation in low-dimensional phononic crystals is studied. It is shown that phononic transverse perturbations in this medium are highly nonlinear. They can be described with the help of the Riemann wave and may form stable wave structures of the finite amplitude. The Riemann wave deformation is described analytically. The Riemann wave time existence up to the beginning of the gradient catastrophe is calculated.
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 7022200
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/348920
OpenAlex ID: W2156973618
Wikidata QID: Q59036359
cites work: Q4720050
cites work: Q3048493
cites work: Q4877203
cites work: Heat flow choking in carbon nanotubes
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description: scientific article; zbMATH DE number 7022200