  Proposed in this paper is a numerical procedure to generate periodic
traveling wave solutions of some nonlinear dispersive wave equations. The
method is based on a suitable modification of a fixed point algorithm of
Petviahvili type and solves several drawbacks of some previous algorithms
proposed in the literature. The method is illustrated with the numerical
generation of periodic traveling waves of fractional KdV type equations and
some extended Boussinesq systems.
