Solitary Rayleigh waves in the presence of surface nonlinearities

Kovalev, A. S. and Mayer, A. P. and Eckl, C. and Maugin, G. A. (2002) Solitary Rayleigh waves in the presence of surface nonlinearities. PHYSICAL REVIEW E, 66 (3): 036615. ISSN 2470-0045, 2470-0053

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Abstract

The propagation of Rayleigh waves is investigated in a solid substrate of linear material covered by a film consisting of a material with large nonlinear elastic moduli. For this system, a nonlinear evolution equation is derived that may be regarded as a special case in a wider class of evolution equations with a specific type of nonlocal nonlinearity. Periodic pulse train solutions are computed. For a certain member of the class of nonlinear evolution equations, several families of solitary wave solutions and their associated periodic stationary wave solutions are derived analytically.

Item Type: Article
Uncontrolled Keywords: ACOUSTIC-WAVES; ELASTIC MEDIA; SOLITONS; CRYSTALS; PULSES;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 01 Sep 2021 11:24
Last Modified: 01 Sep 2021 11:24
URI: https://pred.uni-regensburg.de/id/eprint/39950

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