Kelvin waves are the n=0 eastward-propagating inertia-gravity mode on the sphere.
Kelvin wave is the slowest eastward-propagating eigensolution of the linearized primitive equations on the sphere, associated
Mixed Rossby-gravity waves are the n=0 westward-propagating rotational mode on the sphere.
Mixed Rossby-gravity (MRG) wave is the equatorially-trapped mode which together with the Kelvin wave fills
The n=1 Rossby wave is the fastest Rossby mode on the sphere.
The n=1 Rossby wave, together with the Kelvin wave, provides basic understanding of large-scale circulation in response to tropical heating