Nonlinear ion-acoustic waves in a magnetized plasma and the Zakharov-Kuznetsov equation

The nonlinear development of ion-acoustic waves in a magnetized plasma is considered, and a further discussion of the analytical properties of the Zakharov-Kuznestov equation that governs the latter problem is given. The solitary-wave solutions are discussed and it is shown that they give a good description of recent experimental results about the manner in which the magnetic field influences the solitary waves. Recurrence and Lagrange stability of solutions of the Zakharov-Kuznestov equation are presented. (author)