Numerical investigation of acoustic solitons

TL;DR

This paper investigates the theoretical properties and numerical behavior of acoustic solitons generated by large amplitude sound waves in Helmholtz resonators, focusing on energy, stability, and low-frequency dynamics.

Contribution

It provides a detailed theoretical analysis and numerical simulations of acoustic solitons, expanding understanding beyond previous experimental validations.

Findings

Analysis of low-frequency regime behavior

Demonstration of energy balance in solitons

Numerical illustrations of solitary wave features

Abstract

Acoustic solitons can be obtained by considering the propagation of large amplitude sound waves across a set of Helmholtz resonators. The model proposed by Sugimoto and his coauthors has been validated experimentally in previous works. Here we examine some of its theoretical properties: low-frequency regime, balance of energy, stability. We propose also numerical experiments illustrating typical features of solitary waves.