Lossless propagation of optical pulses through N-level systems with SU(2) symmetry

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Propagation of optical pulses through atomic media consisting of atoms with N transition levels and possessing the so-called SU(2) symmetry is studied. It is shown that there are generally N − 1 sets of conditions, each of which, when satisfied, would permit the appropriate Maxwell–Bloch equations to have a solution having the form of simultaneous different-wavelength optical solitons, so-called simultons. The first two sets of solutions were known previously, but the remaining sets are new.