  A theory of optical nonresonance vector pulsing solitons in a Kerr media is
considered. By using the perturbative reduction method the wave equation is
transformed to the coupled nonlinear Schrodinger equations. The profile of the
optical nonresonance vector pulsing soliton with the difference and sum of the
frequencies is presented. Explicit analytical expressions for the optical
two-component vector pulsing soliton with phase modulation are obtained. It is
shown that the two-component pulsing soliton in this special case can be
transformed to the scalar pulsing soliton,and these waves have different
profiles.
