2014/10/31 by V. Achilleos, O. Richoux, G. Theocharis +1 · 1 citation
Physics and Astronomy · #nlin.PS #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physreve.91.023204
published as Phys. Rev. E 91 , 023204 (2015) · 10 pages, 9 figures
arxiv created 2015/01/19 · arxiv updated 2015/03/16
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.