We investigate two mutually incoherent spatial solitons in biased two-photon photovoltaic photorefractive crystals under steady-state conditions in one dimensional. It is show that incoherently coupled bright-bright, dark-dark and bright-dark two-photon soliton pairs can be established in the crystals provided that the mutually incoherent incident beams have the same polarization and the same wavelength. We also show that when the bias field is much stronger than the photovoltaic field, these soliton pairs are just like the two-photon screening soliton pairs, and when the applied field is absent, these soliton pairs degenerate into the two-photon photovoltaic soliton pairs.
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