STABILITY THEORY FOR PERIODIC PULSE-TRAIN SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION

The problem of the stability of periodic and quasiperiodic trains of s oliton pulses in the nonlinear Schrodinger equation is examined using linearized perturbation theory. When the quasiperiodic soliton pulse t rain is subjected to perturbations of position or phase, there are bot h stable and unstable regions of the parameter space. The stability ex ponents of these perturbations are determined in the asymptotic case o f large separation between the solitons.