Optimal self-compression of multisoliton pulses in an optical fiber

An approach based on the exact solutions of the nonlinear Schrödinger equation is used to tackle the problem of nonlinear evolution and optimal self-compressions of a multisoliton pulse in a single-mode optical fiber. It is shown that certain initial conditions make it possible to achieve a higher degree of compression than in the cases discussed earlier. The Darboux transformation method is combined with numerical techniques in obtaining the exact solutions of the problem and finding the self-compression parameters that ensure the best results. The profiles of the resultant pulses are calculated numerically.