Parametric solitons: nonlinear propagation of coherently coupled pulses generated through four-photon mixing processes.
We discuss the nonlinear propagation of three coherently coupled pulses interacting through the parametric four-photon mixing process in a single-mode fiber. An intense pump pulse whose wavelength lies near the zero-group-velocity-dispersion wavelength gives rise to a pair of Stokes and anti-Stokes pulses. A compressed solitonlike pulse at the Stokes wavelength is generated, while the anti-Stokes wave propagates as a dark pulse. The propagation equations also describe modulational instability in the presence of pump depletion.
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