  Using the generalized perturbation reduction method the scalar nonlinear
Schr\"odinger equation is transformed to the coupled nonlinear Schr\"odinger
equations for auxiliary functions. A solution in the form of a two-component
vector nonlinear pulse is obtained. The components of the pulse oscillate with
the sum and difference of the frequencies and wave numbers. Explicit analytical
expressions for the shape and parameters of the two-component nonlinear pulse
are presented.
