Surface and internal wave dynamics in a rotating uid is considered for axisymmetrical disturbances. The model equation for nonlinear waves (the Ostrovsky equation for axisymmetrical perturbations) is derived from a primitive shallow water Boussinesq equations taking into account the Coriolis force. The evolution of solitary (pulse type) and periodical disturbances is studied theoretically, numerically, and in laboratory experiments. Di erent regimes of wave decay are described and analysed in detail. The dependencies of wave amplitudes and other wave parameters on distance in a polar co-ordinate system are derived. Some estimates for surface and internal waves in real oceanic conditions under the in uence of Earth's rotation are discussed.

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