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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2015

Acoustic solitons in waveguides with Helmholtz resonators: Transmission line approach

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Résumé

We report experimental results and study theoretically soliton formation and propagation in an air-filled acoustic waveguide side loaded with Helmholtz resonators. We propose a theoretical modeling of the system, which relies on a transmission-line approach, leading to a nonlinear dynamical lattice model. The latter allows for an analytical description of the various soliton solutions for the pressure, which are found by means of dynamical systems and multiscale expansion techniques. These solutions include Boussinesq-like and Korteweg-de Vries pulse-shaped solitons that are observed in the experiment, as well as nonlinear Schrodinger envelope solitons, that are predicted theoretically. The analytical predictions are in excellent agreement with direct numerical simulations and in qualitative agreement with the experimental observations.

Dates et versions

hal-02407265 , version 1 (12-12-2019)

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V. Achilleos, Olivier Richoux, Georgios Theocharis, Dimitris Frantzeskakis. Acoustic solitons in waveguides with Helmholtz resonators: Transmission line approach. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2015, 91 (2), ⟨10.1103/PhysRevE.91.023204⟩. ⟨hal-02407265⟩
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