Abstract

The stability of soliton solutions in the dissipative systems is very sensitive to the small variation of nonlinear terms. By the cubic-quintic complex Ginzburg-Landau equation, the existence of breathing and chaotic solitons and their spectral properties are revealed in detail. When the breathing soliton repeats the broadening and reducing of soliton envelope periodically, the symmetric lobes appears and disappears in the spectral density distribution. On the other hand, the chaotic soliton undergoes the asymmetric exploding and the spectral density begins to change near the central frequency and wholly fluctuates. The spectral analysis and the investigation of soliton energy variation help the understanding of different behaviors of solitons.

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