Existence of superposition solutions for pulse propagation in nonlinear resonant media
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Existence of self-similar, superposed pulse-train solutions of the nonlinear, coupled Maxwell-Schrdinger equations, with the frequencies controlled by the oscillator strengths of the transitions, is established. Some of these excitations are specific to the resonant media, with energy levels in the configurations of [Formula Presented] and N and arise because of the interference effects of cnoidal waves, as evidenced from some recently discovered identities involving the Jacobian elliptic functions. Interestingly, these excitations also admit a dual interpretation as single pulse trains, with widely different amplitudes, which can lead to substantially different field intensities and population densities in different atomic levels. 2003 The American Physical Society.