# Equatorial poincare wave

From AMS Glossary

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## equatorial Poincare wave

By analogy with a Poincare wave in a channel, an inertio-gravity wave confined to a region about the equator.

The meridional velocity of the in which in which β is the meridional gradient of the Coriolis parameter at the equator,

*n*th mode of these waves has meridional structure of the form*y*is the meridional distance from the equator,*R*is the equatorial Rossby radius of deformation, and*H*_*n*is the*n*th Hermite polynomial. In the shallow water approximation*g*is the acceleration of gravity, and*H*is the mean fluid depth.