Abstract
The Kaufman-Stenflo equations for nonlinearity coupled upper-hybrid (UH) and magnetosonic waves are generalized for the multi-dimensional wave propagation case in collisional magnetoplasmas. Thus, a two-dimensional envelope equation for the UH waves, and three-coupled equations for magnetosonic waves are derived, by taking into account the combined effects of the UH ponderomotive force and the UH wave Joule heating of the electrons. The newly derived mode coupling equations are then used to derive a general dispersion that is appropriate for studying the parametric instabilities in collisional magnetoplasmas. The relevance of our investigation to low-temperature laboratory and space plasmas is pointed out.
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