On numerical simulation of plasma oscillations taking into account non-standard viscosity

The effect of non-standard viscosity on non-relativistic oscillations of cold plasma is numerically analyzed. The non-standard viscosity can be interpreted as a consequence of low electron heating when using the barotropic model. An implicit McCormack-type difference scheme has been constructed for calculations, which has a weaker stability constraint than the explicit scheme and is implemented without iterations, which increases its computational efficiency tenfold. It is shown that taking into account the non-standard viscosity of the plasma can be the reason for the formation of traveling waves of the soliton type.