Propagation of Nonlinear Electromagnetic Wave Across Strong Magnetic Field in Plasma

The propagation of the large amplitude electromagnetic wave in a plasma across the external magnetic field is considered. In this interaction electrons are accelerated by the longitudinal electric field up to relativistic energies. The system develops into the strongly nonlinear regime with increasing the wave amplitude. It is shown that in the strong magnetic field near plasma or cyclotron resonance the envelope soliton solution exists. This solution is qualitatively similar to the Langmuir soliton in a plasma without magnetic field.

magnetoactive plasma, extraordinary wave, resonance electrons, nonlinear frequency shift, envelope soliton