Existence of superposition solutions for pulse propagation in nonlinear resonant media
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Delicate interference phenomena involving cenoidal waves was found to give rise to certain shape-preserving excitations, exclusive to and N type multilevel atomic media. In addition, it was observed that matched pair-type self-similar solutions, possible in odd-level systems, do not occur in the even-level N system. Interestingly, the superposition nature of the given excitations of the nonlinear media, makes it possible for different atomic levels to have widely different population densities and different pulse trains possess significantly differing amplitudes, features not present in simple pulse-train solutions.