Abstract
The analytical aspects of the internal thermospheric waves (IW) theory development are reviewed. The statement of the problem is discussed: the choice of the boundary and initial conditions. Special attention is paid to the upper boundary, the existence of which is the direct consequence of the molecular free way growth with height. The model equations for long waves are derived which take into account dissipation, spherity and rotation of the earth. The wave disturbance evolution is represented by the mode dynamical variables with the characteristics for thermospheric waveguide vertical structure. Nonlinearity of general hydrothermodynamic system leads to mode interaction. Therefore the mode coefficient functions satisfy the system of equations that generalizes the system of coupled KdV. As part of the manifestations of nonlinearity, the mean field generation problem by the quasiperiodic IW is discussed. The analytical F2-ionosphere effect model is represented. The model is based on the ambipolar diffusion equation. The calculated results of F2 maximum height variations during magnetospheric substorms are compared with the empiric model data.
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