Strongly Nonlinear Transverse Perturbations in Phononic Crystals

Strongly Nonlinear Transverse Perturbations in Phononic Crystals

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 amp...

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Main Authors: S. Nikitenkova, E. Pelinovsky
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/348920
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spelling doaj-b39e90852757477fbd4d8b87fa8949832020-11-24T22:25:16ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/348920348920Strongly Nonlinear Transverse Perturbations in Phononic CrystalsS. Nikitenkova0E. Pelinovsky1Radiophysics Department, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod 603950, RussiaDepartment of Nonlinear Geophysical Processes, Institute of Applied Physics, Nizhny Novgorod 603950, RussiaThe 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.http://dx.doi.org/10.1155/2014/348920
collection DOAJ
language English
format Article
sources DOAJ
author S. Nikitenkova
E. Pelinovsky
spellingShingle S. Nikitenkova
E. Pelinovsky
Strongly Nonlinear Transverse Perturbations in Phononic Crystals
Abstract and Applied Analysis
author_facet S. Nikitenkova
E. Pelinovsky
author_sort S. Nikitenkova
title Strongly Nonlinear Transverse Perturbations in Phononic Crystals
title_short Strongly Nonlinear Transverse Perturbations in Phononic Crystals
title_full Strongly Nonlinear Transverse Perturbations in Phononic Crystals
title_fullStr Strongly Nonlinear Transverse Perturbations in Phononic Crystals
title_full_unstemmed Strongly Nonlinear Transverse Perturbations in Phononic Crystals
title_sort strongly nonlinear transverse perturbations in phononic crystals
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/348920
work_keys_str_mv AT snikitenkova stronglynonlineartransverseperturbationsinphononiccrystals
AT epelinovsky stronglynonlineartransverseperturbationsinphononiccrystals
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