Relativistic breaking effect of electron oscillations in a plasma slab

The relativistic breaking effect of plane one-dimensional electron plasma oscillations is studied by numerical modeling methods. Two different algorithms (on the basis of Eulerian and Lagrangian variables) are proposed and a preliminary analytical analysis is performed. The development-completion dynamical processes of plane relativistic oscillations are discussed. Their culmination is the off-axis singularity of the electron density function. A part of calculation was performed on the “Chebyshev” Moscow University supercomputer system.