Davidson and Schram (Nucl. Fusion8 (1968) 183) studied, using Lagrangian methods, the phenomena of nonlinear oscillations in a cold plasma. In particular, they conclude that their solution can never take the form of Bernstein-Greene-Kruskal waves. It is the purpose of this note to point out that this is not so and that for a particular choice of initial conditions, given explicitly below, B-G-K waves can be obtained.