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The dispersion and damping of ion-acoustic waves in the plasma with a regularized kappa-distribution are studied. The generalized dispersion relation and damping rate are derived, which both depend significantly on the parameters alpha and kappa. The numerical analyses show that the wave frequency and the damping rate of ion-acoustic waves in the plasma with the regularized kappa-distribution are both generally less than those in the plasma with the kappa-distribution, and if kappa is less than a value, the ion-acoustic waves and their damping rate exist in the plasma with the regularized kappa-distribution.

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