Abstract
A linear nonstationary quasi-geostrophic model is considered with external and internal heating and forcing. First, a stationary problem is solved. As it is supposed that the nonstationary component of the ultralong wave is mainly generated by the nonlinear interaction of cyclonic waves, initially it is taken to be the same at all atmospheric levels, with the amplitude and phase being equal to the stationary solution at 700 mb. The total ultralong wave (stationary plus nonstationary components) is taken as the initial value of geopotential in integrating the equations for 90 days. Typically for quasi-stationary ultralong waves, fluctuations at 700 mb and specific (cascade), rather large changes of the amplitudes at the upper levels are obtained. Integral characteristics are quoted that strikingly agree with similar values studied from the real data over the periods of sudden stratospheric warmings and with the results of theoretical investigations of this phenomenon.
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