One-dimensional incoherently coupled grey solitons in two-photon photorefractive media

We show that grey solitons, grey-grey soliton pairs, and multi-component grey solitons can be realized in two-photon photorefractive media. The results for soliton pairs and multi-component solitons are derived under the assumption that the carrier beams share the same polarization, wavelength, and are mutually incoherent.