Abstract:
In this paper we research the (1+1)-dimensional system of Schr¨odinger-MaxwellBloch equations (NLS-MBE), which describes the optical pulse propagation in an erbium doped
fiber and find PT-symmetric and reverse space-time Schr¨odinger-Maxwell-Bloch equations, i.e.
the kinds of nonlocal Schr¨odinger-Maxwell-Bloch equations. In particular case, the system of
Schr¨odinger-Maxwell-Bloch equations is integrable by the Inverse Scattering Method as shown
in the work of M.Ablowitz and Z.Musslimani. Following this method we prove the integrability
of the nonlocal system of Schr¨odinger-Maxwell-Bloch equations by Lax pairs. Also the explicit
and different seed solutions are constructed by using Darboux transformation.
