On Long Time Behavior Of Solutions Of The Schrodinger-Korteweg-De Vries System

We are concerned with the decay of long time solutions of the IVP associated to the Schrodinger-Korteweg-de Vries system. We use recent techniques in order to show that solutions of this system decay to zero in the energy space. The result is independent of the integrability of the equations involved, and it does not require any size assumptions.