Painlevé property of the inhomogeneous coupled nonlinear Schrödinger equations

We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply the Painlevé singularity structure analysis and find that the proposed equations admit the Painlevé property. From the detailed analysis, we conclude that the coupled versions of the homogeneous and inhomogeneous uncoupled integrable NLS equations are always integrable from the point of view of Painlevé analysis.