  In this paper, we investigate the Cauchy problem of the compressible
non-resistive MHD on $\mathbb{R}^2$ with vacuum as far field density. We prove
that the 2D Cauchy problem has a unique local strong solution provided the
initial density and magnetic field decay not too slow at infinity. Furthermore,
if the initial data satisfies some additional regularity and compatibility
conditions, the strong solution becomes a classical one. Additionally, we
establish a blowup criterion for the 2D compressible non-resistive MHD
depending solely on the density and magnetic fields.
