Strongly Nonlinear Transverse Perturbations in Phononic Crystals | Zendy

С. П. Никитенкова | Zendy; Efim Pelinovsky | Zendy

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Strongly Nonlinear Transverse Perturbations in Phononic Crystals

Author(s) -

С. П. Никитенкова,

Efim Pelinovsky

Publication year - 2014

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2014/348920

Subject(s) - nonlinear system , transverse plane , riemann hypothesis , amplitude , riemann surface , mathematics , mathematical analysis , classical mechanics , physics , condensed matter physics , quantum mechanics , structural engineering , engineering

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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