Generation and propagation of acoustic solitons in a periodic waveguide of air-water metamaterials

Abstract

In this study, we propose an equivalent circuit of a metamaterial 1D waveguide. The latter is made of a diphasic medium to induce both non-linearity and dispersion. The balance between these two effects makes it possible to obtain soliton waves not studied in the fluid-fluid metamaterial so far. The purpose of the present paper is to confront the numerical Runge Kutta-based solution to the Transmission Line based circuits. The latter is compared to the numerical solution obtained by a Finite element method (FEM) algorithm to validate the numerical solution. The obtained solution is proved to be in good agreement with FEM solution.