Stimulated decay of N-soliton pulses and optimal separation of one-soliton components

The decay of an N-soliton optical pulse in optical fibres induced by the nonlinear interaction with a perturbing pulse is analysed numerically. The main attention is paid to the analysis of conditions under which the separation of soliton components occurs over a minimal distance. The analysis was performed by varying the carrier frequency of the perturbing pulse, its shift in time, and the phase difference. The numerical calculations are confirmed for the zero time shift by analytic calculations performed by the method of inverse scattering problem.