Contribution to the theory of weakly turbulent Kolmogorov spectra of a homogeneous magnetized plasma

The possible existence of weakly turbulent Kolmogorov spectra on oscillation modes of a homogeneous magnetized plasma is investigated theoretically. It is shown that these spectra can be related to Alfven, magnetosonic, or magnetized electron Langmuir waves, to whistlers, and to a number of other waves. In addition, the question of weak-turbulence Kolmogorov spectra of ion-sound waves is analyzed in a more general formulation than in preceding studies (the vector nonlinearity is taken into account and the concept of plane turbulence is formulated). The role of backward waves, allowance for which is essential in problems involving turbulence of strongly dispersed waves, is investigated. It is shown that in such problems there can be realized only one Kolmogorov spectrum, rather than the two in the case of weakly dispersed waves