1974/10/01 by P. C. Clemmow · 2 citations
Physics and Astronomy · #Pulsars and Gravitational Waves Research #Nonlinear Waves and Solitons #Cosmology and Gravitation Theories
paper · doi:10.1017/s0022377800025125
Wave propagation in a cold, collisionless, two-component plasma is analyzed by considering, first, the frame of reference in which the field has no space dependence, and then applying a Lorentz transformation to obtain a wave whose space-time dependence is a function of t — nz / c only, where n is a constant. Exact (nonlinear, relativistic) results for known special cases, and some others, are given; and it is shown that, when there is no ambient magnetic field, the general problem in essence reduces to the solution of one second-order, nonlinear differential equation. The desirabifity of introducing a free parameter representing a stream velocity in the direction of wave propagation is emphasized; and the significance of the choice of this parameter is discussed.