Theory of near-sonic envelope electromagnetic waves in magnetized plasmas

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Abstract
Using an analytic method of solution developed by Varma and Rao [Phys. Lett. 79A, 311 (1980); J. Plasma Phys. 27, 95 (1982)], we obtain exact stationary solutions of a coupled set of time-dependent nonlinear equations [namely, the coupled Schrödinger–Korteweg–de Vries (Boussinesq) system] appropriate for electromagnetic waves propagating along an external magnetic field with a group velocity near the ion-acoustic velocity. The high-frequency field envelope has an antisymmetric structure whereas the low-frequency density perturbation is symmetric. For a given magnetic field strength, left-circularly polarized waves have larger amplitudes than the right-circularly polarized waves; a similar dependence is found also for the associated density perturbations. A set of integral invariants for the time-dependent equations is obtained and explicitly evaluated for the exact solutions. A detailed comparison of the present results with those obtained earlier for the exact stationary equations is carried out. Several improvements as well as extensions of the present theory have been indicated.

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