The Mindlin–Engelbrecht–Pastrone model is applied to simulating 1D wave propagation in microstructured solids. The model takes into account the nonlinearity in micro- and macroscale. Numerical solutions are found for the full system of equations (FSE) and the hierarchical equation (HE). The latter is derived from the FSE by making use of the slaving principle. Analysis of results demonstrates good agreement between the solutions of the FSE and HE in the considered domain of parameters. For numerical integration the pseudospectral method is used.
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