Exact Solution and Instability for Geophysical Waves with Centripetal Forces and at Arbitrary Latitude
2019
The aim of this paper is to provide, in a $$\beta $$
-plane approximation with centripetal forces, an explicit three-dimensional nonlinear solution for geophysical waves propagating at an arbitrary latitude, in the presence of a constant underlying background current. This solution is linearly unstable when the steepness of the wave exceeds a specific threshold.
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