The dispersion equation for Kelvin-type waves for a single-step topography is derived. Solutions for this equation indicate that, in addition to the Kelvin-type waves, there also exist quasigeostrophic waves that are related to the topography structure.
Larsen, J. C.. 1969. "Long waves along a single-step topography in a semi-infinite uniformly rotating ocean." Journal of Marine Research 27, (1). https://elischolar.library.yale.edu/journal_of_marine_research/1137