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

Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave equations