Abstract
By using both a zero-thickness interface description for a “slow” thin film coating a nonlinear elastic substrate, and the Whitham-Newell theory of nonlinear, small-amplitude, almost monochromatic, dispersive waves, the existence of stable elastic solitary surface transverse acoustic waves (STW) propagating as dark or bright solitons is established. The acoustic analogue, in elastic solids, of the solitons observed for electromagnetic propagation in optical fibers is thus obtained.
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