Asymmetric incoherent vector solitons

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Abstract
We introduce a wide class of partially coherent, partially polarized solitons whose second-order statistical properties include a certain type of reflectional symmetry to be referred to as the specularity. We describe generic properties of such solitons in any noninstantaneous saturable nonlinear media. We derive closed form analytical expressions for the intensity profiles as well as the degree of polarization of specular and antispecular partially coherent solitons supported by logarithmically saturable nonlinear media.