For a one-dimensional nonlinear optical medium with a periodic refraction i
ndex, new two-parameter soliton solutions of electrodynamics equations have
been found. These solutions represent two interacting waves that propagate
in two opposite directions. The oscillation frequency of each wave may fal
l either into the forbidden gap in the linear spectrum or outside it, and t
he group velocity may vary from zero to a maximal value that is determined
by the parameters of the medium. Algebraic soliton solutions have been foun
d as the limit of the nonlinear solutions, when the nonlinear wave frequenc
y tends to the frequency of one of the linear-spectrum branches. (C) 2000 M
AIK "Nauka/Interperiodica".