  A six dimensional standing-wave braneworld model has been constructed. It
consists in an anisotropic 4-brane generated by standing gravitational waves
whose source is normal matter. In this model the compact (on-brane) dimension
is assumed to be sufficiently small in order to describe our universe (hybrid
compactification). The bulk geometry is non-static, unlike most of the
braneworld models in the literature. The principal feature of this model is the
fact that the source is not a phantom like scalar field, as the original
standing-wave model that was proposed in five dimensions and its six
dimensional extension recently proposed in the literature. Here it was obtained
a solution in the presence of normal matter what assures that the model is
stable. Also our model is the first standing wave brane model in the literature
which can be applied successfully to the hierarchy problem. Additionally, we
have shown that the zero-mode for the scalar and fermionic fields are localized
around the brane. Particularly for the scalar field we show that it is
localized on the brane, regardless the warp factor is decreasing or increasing.
This is in contrast to the case of the local string-like defect where the
scalar field is localized for a decreasing warp factor only.
