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Modulation Instability of the Lower-Hybrid Waves

The evolution equations for the complex amplitude of the lower-hybrid waves propagating under an arbitrary constant angle to the external magnetic field are found by using a kinetic description. The soliton solutions of these equations are found and the nonlinear Landau damping for the solitons are calculated. From the general dispersion relation of the modulation instability for the branch of modes under consideration, the growth rates of instability are evaluated.