Evaluation of the linear theory satisfiability limits in propagation of the internal gravity waves

TL;DR

This paper investigates the applicability of linear theory to internal gravity wave propagation, demonstrating that under certain conditions, linear models are adequate despite the inherently nonlinear nature of wave phenomena.

Contribution

The study establishes conditions under which linear approximations are valid for internal gravity waves, supporting their use in modeling wave dynamics.

Findings

Linear approximation is valid within certain wavelength ranges.

Linear models adequately describe internal gravity wave dynamics.

Results support the use of linear theory despite nonlinear excitation processes.

Abstract

A problem of finding the linear theory satisfaction limits in propagation of the internal gravity waves is considered. It is evident that internal gravity waves excitation, propagation in actual practice is highly nonlinear phenomenon. However with some reasonable assumptions it is possible to linearize equations of internal waves generation and propagation. It is shown that in interesting for us wavelength range we can use linear approximation during study of internal gravity waves dynamics. Similarly it is easy to evaluate also influence of other corrections to the linear theory of internal gravity waves generation and propagation, and the obtained results indicate adequacy and supportability of linear model wave dynamics.