Dominance of ion motion over electron motion in some intensity-induced wave processes in a magnetized plasma

Intensity-induced frequency shift and precessional frequency of two strong circularly polarized wves are derived in a magnetized plasma. An unexpected featue in the low-frequency limit of a magnetohydrodynamic Alfven wave is that the ion velocity is comparable to th velocity of light in the presence of a static magnetic field. This process may be useful in the astrophysical energy-transfer studies and in the experiment with ion--laser-induced plasma