Solitons for the rotating reduced Maxwell-Bloch equations with anisotropy

For the reduced Maxwell-Bloch equations with two components of polarization and with an anisotropic dipole moment we establish a hierarchy of soliton solutions by use of Backlund transformations. The N-soliton formulas are given in terms of Vandermonde-like determinants. Differences in the respective solution manifolds for the so-called self-induced transparency (SIT) equations and three types of reduced Maxwell-Bloch equations are pointed out.