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Bright and gap solitons in membrane-type acoustic metamaterials

Abstract : We study analytically and numerically envelope solitons (bright and gap solitons) in a one-dimensional, nonlinear acoustic metamaterial, composed of an air-filled waveguide periodically loaded by clamped elastic plates. Based on the transmission line approach, we derive a nonlinear dynamical lattice model which, in the continuum approximation, leads to a nonlinear, dispersive, and dissipative wave equation. Applying the multiple scales perturbation method, we derive an effective lossy nonlinear Schrodinger equation and obtain analytical expressions for bright and gap solitons. We also perform direct numerical simulations to study the dissipation-induced dynamics of the bright and gap solitons. Numerical and analytical results, relying on the analytical approximations and perturbation theory for solions, are found to be in good agreement.
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https://hal.archives-ouvertes.fr/hal-02406955
Contributeur : Olivier Richoux <>
Soumis le : jeudi 12 décembre 2019 - 11:59:14
Dernière modification le : jeudi 7 janvier 2021 - 15:56:02

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Jiangyi Zhang, Vicente Romero-García, Georgios Theocharis, Olivier Richoux, Vassos Achilleos, et al.. Bright and gap solitons in membrane-type acoustic metamaterials. Physical Review E , American Physical Society (APS), 2017, 96 (2), ⟨10.1103/PhysRevE.96.022214⟩. ⟨hal-02406955⟩

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