  Starting from an anisotropic (in all directions including the time direction
of the brane) non-susy D2 brane solution of type IIA string theory we construct
an anisotropic space-like D2 brane (or SD2 brane, for short) solution by the
standard trick of double Wick rotation. This solution is characterized by five
independent parameters. We show that upon compactification on six dimensional
hyperbolic space (H$_6$) of time dependent volume of this SD2 brane solution
leads to accelerating cosmologies (for some time $t\sim\,t_0$, with $t_0$ some
characteristic time) where both the expansions and the accelerations are
different in three spatial directions of the resultant four dimensional
universe. On the other hand at early times ($t \ll t_0$) this four dimensional
space, under certain situations, leads to four dimensional Kasner-like
cosmology, with two additional scalars, namely, the dilaton and a volume scalar
of H$_6$. Unlike in the standard four dimensional Kasner cosmology here all
three Kasner exponents could be positive definite, leading to expansions in all
three directions.
