  The anisotropic complex Ginzburg-Landau equation (ACGLE) describes slow
modulations of patterns in anisotropic spatially extended systems near
oscillatory (Hopf) instabilities with zero wavenumbers. Traveling wave
solutions to the ACGLE become unstable near Benjamin-Feir-Newell instabilities.
We determine two instability conditions in parameter space and study
codimension-one (-two) bifurcations that occur if one (two) of the conditions
is (are) met. We derive anisotropic Kuramoto-Sivashinsky-type equations that
govern the phase of the complex solutions to the ACGLE and generate solutions
to the ACGLE from solutions of the phase equations.
