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The effects of the nonlinear polarization in a partially stripped plasma on the parameter processes of a strong laser are discussed. The nonlinear mode coupling equations of stimulated Raman scattering (SRS) are derived.The linear instability growth rates of SRS and stimulated Brillouin scattering (SBS) are given. When the pump wave intensity Io > 1017 W/cm2, the third order susceptibility associated with bound electrons will reduce the SRS and SBS linear growth rate enormously. In addition, the nonlinear susceptibility can affect the nonlinear evolution of SRS and SBS significantly.