STABILITY OF THE PULSELIKE SOLUTIONS OF THE QUINTIC COMPLEX GINZBURG-LANDAU EQUATION

We performed a detailed investigation of the stability of analytic pul selike solutions of the quintic complex Ginzburg-Landau equation that describes the dynamics of the field in a passively mode-locked laser. We found that in general they are unstable except in a few special cas es. We also obtained regions in the parameter space in which stable pu lse solutions exist. These stable solutions do not have analytical exp ressions and must be calculated numerically. We compared and connected the regions in which stable solitonlike solutions exist with the line s for which we had analytical solutions. (C) 1996 Optical Society of A merica