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In this talk,we are concerned with the nonlinear stability of wave patterns of the one dimensional Navier-Stokes-Poisson system.On account of the quasineutral assumption,we first construct a non-trivial solution profile through the quasineutral Euler equations,and then prove that such a non-trivial profile is time-asymptotically stable.The problem of stability of both the rarefaction wave and viscous contact wave will be discussed in the talk.