Asymptotic behavior of an ultra-short laser impulse in two-level media with Stark effect

摘要

In the present paper, an effective equation that looks like the nonequilibrium equation of Kadomtsev-Petviashvili and describes dynamics of an ultra-short laser impulse in two-level media with a Stark effect was got. The reduction that transforms this equation to cylindrical Korteweg-de Vries was performed and analyzed. It was got and elaborated an asymptotic equation of discrete spectra state corresponding to scattering in Laks problem for cylindrical Korteweg-de Vries.