Equatorial Kelvin waves – theory and observations.

The atmosphere is an area of occurrence of phenomena of different spatial scales - from
small (about 1mm) to large (about 10 000km). Therefore, different approximations are used to
describe its dynamics, depending on the nature of the phenomena we are interested in. From the
model typical for large-scale phenomena - shallow water equations - after applying them to the
equatorial zone, the Matsuno model can be derived, and wave solutions can be obtained from it.
One of the important types of these solutions are equatorial Kelvin waves. Although it is a theoretical
solution of the approximate model, it can be shown that such waves really exist in the atmosphere.
Using appropriate methods of data analysis, we may find structures corresponding to Kelvin's waves
in meteorological data.