Powerful electromagnetic pulses propagating in a plasma along a strong
magnetic field under cyclotron-resonance conditions am shown to take
the form of solitons with ''built-in'' Langmuir oscillations. Nonlinea
r saturation of the field amplitude arises as a result of charge separ
ation in a plasma due to the electromagnetic radiation pressure. A dis
crete set of carrier frequencies for soliton envelope solutions is det
ermined by the ratio of the frequency of nonlinear longitudinal electr
on oscillations in a field of an electromagnetic wave to the plasma La
ngmuir frequency. With plasma density decrease, the discrete frequency
spectrum is shown,by numerical integration, to become a continuous on
e. An asymptotic analytical solution is obtained, in this case, descri
bing the physics of electromagnetic radiation interaction with electro
ns and ions of a plasma under strong nonlinearity conditions.