The analytical solution of the task of the interaction of quantized EM-field with axially symmetric quasi-1D multichain qubit system by taking into account both the intrachain and interchain qubit coupling has been obtained for the first time. The appearance in stationary optical spectra of complementary lines, which is consequence of quantum nature of EM-field, leading to Rabi wave packets' formation, is predicted for all quasi-1D systems with strong electron-photon interaction. The model proposed is considered on the example of perfect carbon quasi-1D zigzag shaped nanotubes, for which a new quasi-1D model, which is qualitatively different from well-known 2D-model, is proposed. (C) 2011 Elsevier B. V. All rights reserved.