Abstract. We study the global smooth solution for the coupled Kuramoto-Sivanshinsky-KdV system in two-dimensional space. The model is proposed to describe the surface waves on multi-layered liquid films. The global solution is obtained for general initial data, using an a priori estimate for the nonlinear system, and the smoothness of such solution is established in t > 0. Introduction.In the study of surface waves on multi-layered liquid films, the following coupled Kuramoto-Sivashinsky-Korteweg-de Vries equations are introduced (see [9] and also [6] for the two-dimensional version):

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