  This paper deals with the null controllability of a coupled parabolic system,
which is Kuramoto-Sivashinsky-Korteweg-de Vries equation coupled with heat
equation through first order derivative. More precisely, we prove the null
controllability of the system with a single localized bilinear interior control
acting on either of the components of the coupled system, and with a single
periodic boundary control acting through zeroth order derivatives of either of
the components. We employ the well-known moment method to study the
controllability of the concerned system.
