Abstract

The existing region of the breathing soliton, which is the stable localized solution of the cubic-quintic complex Ginzburg–Landau equation, and its period-doubling bifurcations within this region are studied in detail. The results show that the breathing soliton is very sensitive to the system parameters when the saturation of nonlinear gain is strong enough. The soliton periodical characteristics vary frequently within a very small region, and different period solitons are presented, such as double-period, four-period, and eight-period breathing solitons.

© 2010 Optical Society of America

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