Solitons of the untruncated Maxwell-Bloch equations

Sarbarish Chakravarty

A.V. Andreev

Da-Wei Zuo, Guifang Zhang

Yu-Shan Xue, Bo Tian, Wenbao Ai +3 more

Heinz Steudel, Alexander A. Zabolotskii

It is shown that the reduced Maxwell–Bloch equations for circularly polarized light are integrable by the inverse scattering transform method. A Bäcklund transformation is given and used to construct a hierarchy of N -soliton solutions. The breather solution corresponding to the 2π-pulse of self-induced transparency is discussed in some detail.

Anatoli V. Andreev, V. V. Berendakov

The results of the theoretical study and computer simulations on the ultrashort pulse propagation in a medium of the two-level atoms are discussed. We find the solution of the nontruncated Maxwell-Bloch equations corresponding to the selfsimilar pulse propagation. It is shown that these pulses are solitons. We discuss the dependency of the solitary pulse parameters on the incident pulse amplitude, frequency and temporal width.