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At a horizontally homogeneous isothermal atmosphere approximation, we derivean ordinary six-order differential equation describing linear disturbances withconsideration for heat conductivity and viscosity of medium. The wave problemmay be solved analytically by representing the solution through generalizedhypergeometric functions only at a nonviscous heat-conducting isothermalatmosphere approximation. The analytical solution may be used to qualitativelyanalyze propagation of acoustic and internal gravity waves (AGWs) in the realatmosphere: a) to classify waves of different frequencies and horizontal scalesaccording to a degree of attenuation and thus according to their ability toappear in observations and in general dynamics of the upper atmosphere; b) todescribe variations in amplitude and phase characteristics of disturbancespropagating in a height region with dominant dissipation; c) to analyzeapplicability of quasi-classical wave description to a medium withexponentially growing dissipation. In this paper, we also present wave andquasi-classical methods for deriving waveguide solutions (dissipative onescorresponding to a range of internal gravity waves (IGWs)) with considerationof wave leakage into the upper atmosphere. We propose a qualitative schemewhich formally connects the wave leakage solution to the wave solution in theupper dissipative atmosphere. Spatial and frequency characteristics ofdissipative disturbances generated by a waveguide leakage effect in the upperatmosphere are demonstrated to agree well with observed characteristics ofmiddle-scale traveling ionospheric disturbances (TIDs).

Analyzing propagation of low-frequency dissipative oscillations in the upper atmosphere