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It is shown that the existence of incoherently coupled screening-photovoltaic soliton families is possible in biasedphotovoltaic photorefractive crystals under steady-state conditions. These screening-photovoltaic soliton families canbe established provided the multiple incident beams have the same polarization and wavelength, and are mutuallyincoherent. Such soliton families reduce to screening-photovoltaic soliton pairs when they contain only two components.Relevant examples are presented where the photovoltaic photorefractive crystal is of the lithium niobate type.