We study both theoretically and experimentally the nonlinear interactionbetween an intense surface acoustic wave and a two-dimensional electron plasmain semiconductor-piezocrystal hybrid structures. The experiments on hybridsystems exhibit strongly nonlinear acousto-electric effects. The plasma turnsinto moving electron stripes, the acousto-electric current reaches its maximum,and the sound absorption strongly decreases. To describe the nonlinearphenomena, we develop a coupled-amplitude method for a two-dimensional systemin the strongly nonlinear regime of interaction. At low electron densities theabsorption coefficient decreases with increasing sound intensity, whereas athigh electron density the absorption coefficient is not a monotonous functionof the sound intensity. High-harmonic generation coefficients as a function ofthe sound intensity have a nontrivial behavior. Theory and experiment are foundto be in a good agreement.
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