Abstract and Applied Analysis

Strongly Nonlinear Transverse Perturbations in Phononic Crystals

S. Nikitenkova and E. Pelinovsky

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 348920, 7 pages.

Dates
First available in Project Euclid: 3 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412364362

Digital Object Identifier
doi:10.1155/2014/348920

Mathematical Reviews number (MathSciNet)
MR3230518

Zentralblatt MATH identifier
07022200

Citation

Nikitenkova, S.; Pelinovsky, E. Strongly Nonlinear Transverse Perturbations in Phononic Crystals. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 348920, 7 pages. doi:10.1155/2014/348920. https://projecteuclid.org/euclid.aaa/1412364362


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