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Article Dans Une Revue Physical Review E Année : 2017

Bright and gap solitons in membrane-type acoustic metamaterials

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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.

Dates et versions

hal-02406955 , version 1 (12-12-2019)



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 , 2017, 96 (2), ⟨10.1103/PhysRevE.96.022214⟩. ⟨hal-02406955⟩
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