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Transport and generation of macroscopically modulated waves in diatomic chains

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  • We derive and justify analytically the dynamics of a small macroscopically modulated amplitude of a single plane wave in a nonlinear diatomic chain with stabilizing on-site potentials including the case where a wave generates another wave via self-interaction. More precisely, we show that in typical chains acoustical waves can generate optical but not acoustical waves, while optical waves are always closed with respect to self-interaction.
    Mathematics Subject Classification: Primary: 37K60, 34E13; Secondary: 70F45, 35L45.

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