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A new representation for equatorial waves in terms of a single scalar fieldis used to demonstrate the influence of the (usually neglected) horizontalcomponent of the earth's rotation vector $\boldsymbol{\vec\Omega}$ on thedispersion of the waves. It is shown that, in the case of constantBrunt-V\"ais\"al\"a frequency $N$, the dispersion relation is unaltered whenthe horizontal component of $\boldsymbol{\vec\Omega}$ is included.

Representation of equatorial waves by a single scalar field and the effect of the horizontal component of the Earth's rotation