ABSTRACT
This chapter provides the influence of ion dynamics on the breaking of plane relativistic one-dimensional electron oscillations is studied using numerical simulation methods. When using the finite difference method, a computational algorithm based on the Eulerian variables is constructed. The chapter presents a preliminary analytical study of the problem has been carried out, and a new type of breaking of long-lived oscillations. It considers highly nonlinear one-dimensional plane plasma oscillations. Such oscillations can occur in a wake wave excited by a short laser pulse in a rarefied plasma when it is focused by a cylindrical lens. A preliminary perturbation method has been used to theoretically study the influence of ion dynamics on the relativistic breaking of electron oscillations. Analysis of the zero asymptotic approximation allowed us to formulate the assumption that there is another type of breaking of long-lived electronic oscillations that is different from the previously known one.
