Transport equations of nonlinear geometric optics in stratified media exhibiting mixed nonlinearity

TL;DR

This paper derives transport equations for nonlinear geometric optics in stratified media with mixed nonlinearity, analyzing how real gas parameters affect wave propagation and solution breakdown.

Contribution

It introduces a new transport equation incorporating both quadratic and cubic nonlinearities for stratified media with spatially varying properties.

Findings

Derived transport equations with mixed nonlinear terms.

Numerical analysis of solution breakdown influenced by gas parameters.

Insights into wave propagation in stratified atmospheres.

Abstract

In this paper, we concerned with the propagation of sound waves through stratified media. Transport equation of nonlinear geometric optics in media with mixed nonlinearity, in the case of spatially varying density and entropy fields, is derived; this equation contains a cubic nonlinear term in addition to the quadratic nonlinearity. We consider an atmosphere where thermodynamic quantities depend on the height only. Effects of real gas parameters, density, and entropy attenuation parameters on the breakdown of the solution are investigated numerically.