Abstract
Abstract Amplitude equations are derived that describe the interaction between high-frequency inertio-gravity waves and low-frequency Rossby waves on rotating shallow water. A cyclone is shown to cause a local maximum to appear in the density of inertio-gravity waves. A packet of inertio-gravity waves is shown to produce a cyclone-anticyclone pair. The interaction between inertio-gravity and Rossby waves could therefore be an additional mechanism which sustains persistent atmospheric anomalies like the blocking phenomenon. However, we have found that neither a bound state nor a collapsing cavern may show up in the course of evolution which implies that the interaction with high-frequency waves does not, by itself, explain the blocking.
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