Oblique Hydromagnetic Waves in a Cold Plasma

Abstract
Steady, one-dimensional, oblique, hydromagnetic waves of small but finite amplitudes in a cold plasma are considered. Analysis is based on an equation derived by Saffman and is restricted to a class of the waves with a large critical Mach number and high-frequency oscillations. Solutions are given in an asymptotic expansion. In the lowest order of perturbation the equation is integrated to give the solutions in closed form, which exhibit compressional solitary waves.