Abstract:
The influence of non-Markovian transverse relaxation on a nonlinear optical wave that is formed under the conditions of self-induced transparency is considered. Using a perturbation theory based on the inverse scattering method and memory function formalism, explicit analytical expressions are obtained for the parameters of this soliton (2$\pi$-pulse). It is established that allowance for the memory effects leads to qualitatively new results in comparison to the McCall-Hahn and other theories.