Diffusion of test particles in stochastic magnetic fields in the percolative regime.

For stochastic magnetic flux functions with percolative contours the test particle transport is investigated. The calculations make use of the stochastic Liouville approach. They start from the so-called A-Langevin equations, including stochastic magnetic field components and binary collisions.

Diffusion of test particles in stochastic magnetic fields for small Kubo numbers.

Motion of charged particles in a collisional plasma with stochastic magnetic field lines is investigated on the basis of the so-called A-Langevin equation. Compared to the previously used A-Langevin model, here finite Larmor radius effects are taken into account. The A-Langevin equation is solved under the assumption that the Lagrangian correlation function for the magnetic field fluctuations is related to the Eulerian correlation function (in Gaussian form) via the Corrsin approximation.

Chirped solitons as attractors for short light pulses.

Nonlinear chirped pulse solutions are shown to exist as stable attractors for short light pulses in driven and damped systems. The attractors are determined for systems of different complexity, from simple gain and damping modelings up to the inclusion of higher-order dispersion, Raman processes, and delayed nonlinear responses. The chirped attractors, their stability, as well as the attractor basins can be determined analytically.

Averaged dynamics of optical pulses described by a nonlinear Schrödinger equation with periodic coefficients.

A nonlinear Schrödinger equation with periodic coefficients, as it appears, e.g., in nonlinear optics, is considered.

Chirped femtosecond solitonlike laser pulse form with self-frequency shift.

Ultrashort laser pulse propagation in a generalized nonconservative system is considered. Slopes appearing in the form of the third-order time derivative for narrow pulse widths, nonlinear dispersion, and self-frequency shift arising from stimulated Raman scattering are taken into account. An exact analytical solitonlike solution is presented for a femtosecond solitary laser pulse.

Gray optical dips in the subpicosecond regime.

Narrow optical dip solutions are investigated when, besides self-phase modulation and group velocity dispersion, also third-order dispersion, nonlinear dispersion, and stimulated Raman scattering are taken into account. By using the inverse scattering transform for the higher-order optical nonlinear Schrödinger (HNLS) equation under Hirota parameter conditions, the dark N-soliton solution is constructed. The explicit forms of the one- and two-soliton solutions are investigated in detail.