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arXiv · 1410.2026

Acoustic solitons in waveguides with Helmholtz resonators: transmission line approach

V. Achilleos·O. Richoux·G. Theocharis·D. J. Frantzeskakis
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Abstract

We report experimental results and study theoretically soliton formation and propagation in an airfilled acoustic waveguide side loaded with Helmholtz resonators. Our theoretical approach relies on a transmission-line description of this setting, which leads to a nonlinear dynamical lattice model. The latter is treated analytically, by means of dynamical systems and multiscale expansion techniques, and leads to various soliton solutions for the pressure. These include Boussinesq-like and Korteweg-de Vries pulse-shaped solitons, as well as nonlinear Schröodinger envelope solitons. The analytical predictions are in excellent agreement with direct numerical simulations and in qualitative agreement with the experimental observations.

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V. Achilleos, O. Richoux, G. Theocharis, D. J. Frantzeskakis. 2015-01-19. Acoustic solitons in waveguides with Helmholtz resonators: transmission line approach. https://doi.org/10.1103/physreve.91.023204

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