  We study the propagation of femtosecond light pulses inside an optical fiber
medium exhibiting higher-order dispersion and cubic-quintic nonlinearities.
Pulse evolution in such system is governed by a higher-order nonlinear Schr%
\"{o}dinger equation incorporating second-, third-, and fourth-order
dispersions as well as cubic and quintic nonlinearities. Novel classes of
periodic wave solutions are identified for the first time by means of an
appropriate equation method. Results presented indicated the potentially rich
set of periodic waves in the system under the combined influence of
higher-order dispersive effects and cubic-quintic nonlinearity. Solitary waves
of both bright and dark types are also obtained as a limiting case for
appropriate periodic solutions. It is found that the velocity of these
structures is uniquely dependent on all orders of dispersion. Conditions on the
optical fiber parameters for the existence of these stable nonlinear wave-forms
are presented as well.
