The Review covers recent progress in laser-matter interaction at intensities above 10 18 W
cm− 2. At these intensities electrons swing in the laser pulse with relativistic energies. The …

The weakly nonlinear localization of obliquely modulated high-frequency electromagnetic
waves in an electron-positron-ion plasma is considered. It is shown that the amplitude of the …

Filamented transport of laser-generated relativistic electron beams in a plasma is studied
with reference to fast ignition of fusion targets. The study is based on transverse two …

Previous results on nonlinear acoustic–gravity waves are reconsidered. It turns out that the
mathematical techniques used are somewhat similar to those already adopted by the …

A number of two-dimensional fluid models in geophysical fluid dynamics and plasma
physics are examined to find out whether they have steady and localized monopole vortex …

Two different families of explicit stationary solutions of the Hasegawa–Mima equation are
obtained. In the first case the well-known modon (dipole vortex) is used as the zeroth-order …

The nonlinear theory of the magnetic electron mode is developed. It is shown that the model
equations describing this mode has stationary localized solutions of the monopole vortex …

It is pointed out that fluctuating magnetic fields are generated on an ion time scale in laser-
induced plasmas in the limit ω≪ ω pe where ω is the perturbation frequency and ω pe is the …

A multiple-scales adiabatic perturbation theory is presented describing the adiabatic
dissipation of the solitary vortex-pair solutions of the Hasegawa-Mima equation. The vortex …

In this work, the processes of spontaneous generation of magnetic fields by Rayleigh–
Benard convection in a thin layer of plasma in a constant gravitational field are investigated …