Dynamics and interaction of pulses in the modified Manakov model

The two-component vector nonlinear Schrödinger equation, with mixed signs of the nonlinear coefficients, is considered. This equation is integrable by the inverse scattering transform method. The evolution of a single pulse and interaction of pulses are studied. It is shown that the dynamics of a single pulse is reduced to the scalar nonlinear Schrödinger equation of focusing or defocusing type, depending on the initial parameters. It is found that the interaction of pulses results in the appearance of additional solitons and bound states of several solitons. The asymptotic field profile in the non-soliton regime is also obtained.