Stability theory for periodic pulse train solutions of the nonlinear Schrodinger equation

The problem of the stability of periodic and quasiperiodic trainsof soliton pulses in the nonlinear Schrödinger equationis examined using linearized perturbation theory. When the quasiperiodicsoliton pulse train is subjected to perturbations of positionor phase, there are both stable and unstable regions of theparameter space. The stability exponents of these perturbationsare determined in the asymptotic case of large separation betweenthe solitons.