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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/348920 |
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| author | S. Nikitenkova E. Pelinovsky |
| author_facet | S. Nikitenkova E. Pelinovsky |
| author_sort | S. Nikitenkova |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b39e90852757477fbd4d8b87fa894983 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b39e90852757477fbd4d8b87fa8949832025-02-03T06:11:46ZengWileyAbstract 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 |
| spellingShingle | S. Nikitenkova E. Pelinovsky Strongly Nonlinear Transverse Perturbations in Phononic Crystals Abstract and Applied Analysis |
| title | 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_short | Strongly Nonlinear Transverse Perturbations in Phononic Crystals |
| title_sort | strongly nonlinear transverse perturbations in phononic crystals |
| url | http://dx.doi.org/10.1155/2014/348920 |
| work_keys_str_mv | AT snikitenkova stronglynonlineartransverseperturbationsinphononiccrystals AT epelinovsky stronglynonlineartransverseperturbationsinphononiccrystals |