Strongly Nonlinear Transverse Perturbations in Phononic Crystals

被引：0
|
作者：
Nikitenkova, S. [1 ]
Pelinovsky, E. [2 ,3 ]
机构：
[1] Lobachevsky State Univ Nizhny Novgorod, Radiophys Dept, Nizhnii Novgorod 603950, Russia
[2] Inst Appl Phys, Dept Nonlinear Geophys Proc, Nizhnii Novgorod 603950, Russia
[3] Nizhny Novgorod Tech Univ, Dept Appl Math, Nizhnii Novgorod 603950, Russia
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
SPECTRUM; DYNAMICS;
D O I：
10.1155/2014/348920
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：7
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