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Acoustic solitons in waveguides with Helmholtz resonators: Transmission line approach

Abstract : 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.
Keywords : PROPAGATION TUNNEL ARRAY
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https://hal.archives-ouvertes.fr/hal-02407265
Contributeur : Olivier Richoux <>
Soumis le : jeudi 12 décembre 2019 - 14:17:30
Dernière modification le : jeudi 7 janvier 2021 - 15:56:02

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

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