Abstract
Coating a planar surface of a homogeneous elastic halfspace by a thin film gives rise to dispersion of Rayleigh waves that, together with the second-order nonlinearity of the substrate or surface nonlinearities, leads to the existence of surface acoustic solitary pulses. Their shapes are computed and their stability with respect to small changes of their initial conditions and partly to collisions with each other is analyzed numerically. The existence of gap solitary waves in the case of a periodically structured film is demonstrated, and periodic solitary pulse train solutions on a small oscillatory background are found. Their stability is investigated by means of a Floquet analysis.
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