  The new class of the non-stationary solutions to the system of N-dimensional
equations for coupled gravitational and massless scalar field is found. The
model represents a single (N-1)-brane in a space-time with one large (infinite)
and (N-5) small (compact) space-like extra dimensions. In some particular cases
the model corresponds to the gravitational and scalar field standing waves
bounded by the brane. These braneworlds can be relevant in string and other
higher dimensional models.
