The effect of ions dynamics on the breaking of plane electron oscillations

The effect of the dynamics of ions on the breaking of planar relativistic electron oscillations is studied by methods of numerical simulation. To simulate the finite difference method the numerical algorithm based on Eulerian variables is constructed and a preliminary analytical study carried out. A new type of breaking long-lived oscillations, different from previously known is presented. Part of the calculations was carried on the supercomputer "Chebyshev" (Lomonosov Moscow State University).