Experimental generation and observation of solitary waves in compressible gas with periodic or quasi-periodic background

Determine whether the solitary waves predicted for the one-dimensional compressible Euler equations in the presence of spatially periodic or quasi-periodic entropy/density variations can be generated and observed experimentally, and develop methodologies to identify and measure their persistence and properties in physical systems.

Background

The paper reports numerical evidence that long-wavelength perturbations in a compressible gas with periodic or quasi-periodic entropy/density backgrounds form solitary waves that persist, in contrast to the typical shock formation and decay in 1D Euler dynamics. The homogenized dispersive model captures this behavior and traveling waves are computed.

An experimental confirmation would validate the theoretical and numerical predictions, clarify the physical realizability of the solitary structures, and inform practical conditions under which these waves can be produced and measured.