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In this paper, we concern the initial-boundary value problem of a system coupled by KdV equations, posed on the half line: u_t+u_xx+6 uu_x = 2 vvx, x > 0,t > 0, v_t + v_xxx + 3uv_x = 0, x > 0,t > 0, u(x,0) = u_0(x),v(x,0) = v_0(x), x > 0, u(0,t) = f (t),v(0,t) = g(t), t > 0. Then we prove the well-posedness in the low regularity via using an analyticfamily of boundary forcing operators.
Mathematics Subject Classification: 35E15, 35Q53.