Solitons and solitary waves in a nonlinear gyrotropic medium with frequency dispersion

Exact, previously unknown solutions are derived for the system of equations for the slowly varying amplitudes of the circularly polarized components of an optical field. These solutions describe solitary waves with nontrivial degrees of ellipticity. The ranges of parameter values of an isotropic nonlinear gyrotropic medium in which various types of solutions are possible are determined. A numerical analysis of their stability is carried out.