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For acoustic-gravity waves, we propose a method for obtaining solutions over the source, taking into account the thermal conductivity throughout the atmosphere. The solution is constructed by combining the analytical solution for the upper isothermal part and numerical solution for the real non-isothermal dissipative atmosphere. The possibility of different ways of describing the wave disturbances investigated for different altitudinal ranges. A special way of accounting for small dissipation of the lower atmosphere is proposed. The heights of strong dissipation are found.

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The paper deals with the description of the internal gravity waveguide modes using dissipative solutions above the source [Rudenko, Dmitrienko, 2015]. Such description is compared with the accurate approach and the WKB approximation for the dissipationless equations. It is shown that for waveguide disturbances, dispersion relations calculated by any of the methods are close to each other and are in good agreement with the observed characteristics of traveling ionospheric disturbances. The use of dissipative solutions over the source allows us, in contrast to other methods, to adequately describe the spatial structure of perturbations in the upper atmosphere.

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