Hierarchy of collapse regimes for upper-hybrid and lower-hybrid waves

Abstract

A collapse classification for upper-hybrid and lower-hybrid waves in a weakly magnetized plasma is presented. It is proved that, in these nonlinear systems, three-dimensional soliton solutions do not exist. Furthermore, it is demonstrated that the basic criterion for the existence of wave collapse is the unboundedness of the Hamiltonian from below due to nonlinear terms. Finally, it is shown that there exists a hierarchy of wave-collapse regimes, starting with a IweakR-collapse case which formally preserves zero energy into the collapse stage, and concluding with strong collapse, where the trapped wave energy remains finite.