Faraday waves by resonant triad interaction of surface--compression waves

Abstract

The propagation of wave disturbances over a vertically oscillating liquid may form standing waves, known as Faraday waves. Here we present an alternative description of the generation and evolution of Faraday waves by nonlinear resonant triad interactions, accounting for gravity surface effects and the slight compressibility of the liquid. To this end, we analyse a triad comprising an infinitely long-crested compression mode and two oppositely propagating subharmonic surface waves.