Solitons in the system of coupled Hirota-Maxwell-Bloch equations

We propose the system of coupled Hirota-Maxwell-Bloch equations which governs the propagation of optical pulses in an erbium doped nonlinear fibre with higher order dispersion, self-steepening and self induced transparency (SIT) effects. The Lax pair is explicitly constructed and the soliton solution is obtained using the Darboux-Bäcklund transformations. Hence, the system is found to admit soliton type lossless wave propagation