In this thesis we present studies of nonlinear optics in waveguides, particularly, optical fibers and silicon nano-waveguides.In optical fibers we studied the capabilities of Four-Wave Mixing (FWM) pumped by an incoherent source in the characterization of the zero-dispersion wavelength (ZDW) and highorder dispersion. By means of this FWM-based method we were able to obtain dispersionmaps of a long fiber with a good spatial resolution. Our dispersion-mapping experiments reveal that high-order dispersion presents a higher fluctuation than that of the ZDW. In addition, by improving our experiments we were able to apply our measuring method in a short segment of fiber. This allowed us to study the bending-induced change on dispersion and explain our observations in terms of modifications of the mode confinement and fiber geometry. These studies, not reported before, are fundamental in the development of FWMbased parametric devices and were achieved thanks to an extensive experimental work, numerical modeling of fiber dispersion and nonlinear propagation, and a good understanding of the phase-matching condition of the used FWM process.Given the possibility to characterize dispersion in short fibers, we numerically explored the application of our FWM-based measuring method in silicon nano-waveguides. We obtained promising results, although neglecting single and two-photon absorption and the effects induced by the generated free carriers. Therefore, we found that the understanding freecarriers effects and their dynamics in silicon nano-waveguides is of crucial importance, not only for the application of our method but also for several studies of nonlinear optical propagation phenomena and applications of all-control of light. Initially, by means of timeresolved pump-and-probe experiments we studied optical carrier generation mechanisms and identified, for the first time, the individual contribution of single and two-photon absorption at telecommunications wavelengths. In addition, our experiments also revealed a complex carrier recombination dynamics, which we explained in terms of trap-assisted recombination. This explanation was not given before in the context of optical nano-waveguides, and is founded by the good qualitative agreement obtained between an implemented theoretical model and the observed dynamics. Our main observations are of crucial importance for several studies of linear and nonlinear propagation phenomena and applications in silicon photonics.