Upper-hybrid vortex solitons

Abstract
A Zakharov‐type set of two differential equations is derived, describing the interaction of upper‐hybrid waves with low‐frequency density perturbations in the case of Boltzmann distributed electrons. It is shown that low‐frequency self‐interaction terms lead to the formation of a traveling solution in the form of a solitary double vortex. This solution can be identified as a new nonlinear mode, related to the driven Hasegawa–Mima modon.