The name modon was coined by M. E. Stern as a pun on the joint USA-USSR oceanographic research program POLYMODE. The modon is a dipole-vortex solution to the potential-vorticity equation that was theorized in order to explain anomalous atmospheric blocking events and eddy structures in rotating fluids, and the first solution was obtained by Stern in 1975. However, this solution was imperfect because it was not continuous at the modon boundary, so other scientists, such as Larichev and Reznik (1976), proposed other solutions that corrected that problem.
Although modons were predicted theoretically in the 1970s, a pair of modons spinning in opposite directions was first identified traveling in 2017 over the Tasman Sea. The study of satellite images has allowed the identification of other modons, at least dating back to 1993, that hadn't been identified as such until then. The scientists that first discovered modons in the wild think that they can absorb small sea creatures and carry them at high speed over long ocean distances. They are also capable of affecting the transport of heat, carbon and nutrients over that area of the ocean. They move about ten times faster than a typical eddy, and can last for six months before being disengaged.