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In this paper, we consider the following coupled Schrodinger system with χ^(2) nonlinearities {-Δu1+V1(x)u1=αu1u2,x∈R^N,-Δu2+V2(x)u2=α/2u^21+βu^22,x∈R^N.which arises from second-harmonic generation in quadratic media. Here V1(x) and V2(x) are radially pos