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We prove the existence and the orbital stability of standing waves for the nonau- tonomous Schrdinger system iut+ua(x)u+(|u|2p+b(x)|u| p-1 |v|p+1)u = 0, x∈ R N , ivt+va(x)v+|v|2p+b(x)|v| p-1|u|p+1v = 0, x∈RN under suitable conditions on the coefficient f