  We study a smooth cosmological solution within a generalized 5D standing wave
braneworld modeled by gravity and a phantom scalar field. In this model the
3-brane is anisotropically warped along its spatial dimensions and contains a
novel time-dependent scale factor that multiplies the anisotropic spatial
interval of the 5D metric, a fact that allows us to study cosmological effects.
By explicitly solving the bulk field equations we found a natural mechanism
which isotropizes the braneworld for a wide class of natural initial
conditions. We are able to give a physical interpretation of the anisotropic
dissipation: as the anisotropic energy of the 3-brane rapidly leaks into the
bulk through the nontrivial components of the projected to the brane non-local
Weyl tensor, the bulk becomes less isotropic. At the same time, under the
action of the 4D cosmological constant, the anisotropic braneworld
super-exponentially isotropizes by itself, rendering a 3-brane with de Sitter
symmetry embedded in a 5D de Sitter space-time, while the phantom scalar field
exponentially vanishes.
