Anisotropic diffusion-limited reactions with coagulation and annihilation

One-dimensional reaction-diffusion models A + A --> 0, A + A --> A, and A + B --> 0, where in the latter case like particles coagulate on encounters and move as clusters, are solved exactly with anisotropic hopping rates and assuming synchronous dynamics. Asymptotic large-time results for particle densities are derived and discussed in the framework of universality.