Maxwell–Bloch equation and the inverse scattering method

The inverse scattering method is used to construct general solutions of the Maxwell–Bloch system, these solutions being determined by specification of the polarization as $t\to\infty$. The solutions are classified. An approximate solution is obtained for the mixed boundary-value problem for the Maxwell–Bloch system describing the phenomenon of superfluorescence (generation of a pulse from initial fluctuations of the polarization in a mirrorless laser).