Abstract
Abstract In this article the possibility for the propagation of periodic waves in a two-level system is discussed. It turns out, that in the absence of processes leading to loss and gain of energy, respectively, periodic waves only are possible. Their frequencies are always greater than the transition frequency of the two-level system. The frequency difference and the deviation of the wave profile from a sinusoidal form increases with the strength of interaction of light field and two-level systems. After the introduction of loss and source terms it turns out that only isolated periodic waves exist. The asymptotically stable ones among them act as asymptotic solutions to all other wave solutions. The frequencies and wave forms are affected in a similar way as without loss and source terms.
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