  We examine the generation and subsequent evolution of Rayleigh Taylor
instability in anisotropic binary Bose-Einstein condensates. Considering a
pancake-shaped geometry, to initiate the instability we tune the intraspecies
interaction and analytically study the normal modes of the interface in
elliptic cylindrical coordinates. The normal modes are then Mathieu functions
and undergoes bifurcation at particular values of anisotropy and ratio of
number of atoms. We find that the analytical estimates of the bifurcation
parameters are in good agreement with the numerical results.
