A theory of self-induced transparency (SIT) for the two-component pulse in anisotropic uniaxial media is developed. The system of equations of SIT for extraordinary wave in uniaxial media by means of generalized reduction perturbation method is reduced to the coupled nonlinear Schrodinger equations for auxiliary functions. It is shown that in the theory of SIT, the second derivatives play a significant role that leads to the formation of a vector 0 pi pulse oscillating with the sum and difference of the frequencies. Explicit analytical expressions for the profile and parameters of the two-component nonlinear wave are presented. It is obtained along with scalar 2 pi pulse, the vector 0 pi pulse is also the basic pulse of SIT. The conditions for existence of the nonlinear extraordinary wave depend on the direction of propagation.
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