Stable One-Dimensional Dissipative Solitons in Complex Cubic-Quintic Ginzburg-Landau Equation

N.B. Aleksic a, G. Pavlovic b, B.N. Aleksic c and V. Skarka d a Institute of Physics, Pregrevica 118, 11001 Belgrade, Serbia b Faculty of Physics, University of Belgrade, Serbia c Faculty of Electrical Engineering, University of Belgrade, Serbia d Laboratoire POMA, UMR 6136 CNRS, University of Angers, 2, Boulevard Lavoisier, 49045 Angers, France

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Received: 3 09 2007;

The generation and nonlinear dynamics of one-dimensional optical dissipative solitonic pulses are examined. The variational method is extended to complex dissipative systems, in order to obtain steady state solutions of the (1+1)-dimensional complex cubic-quintic Ginzburg-Landau equation. A stability criterion is established fixing a domain of dissipative parameters for stable steady state solutions. Following numerical simulations, evolution of any input pulse from this domain leads to stable dissipative temporal solitons. Analytical predictions are confirmed by numerical evolution of input temporal pulses towards stable dissipative solitons.

DOI: 10.12693/APhysPolA.112.941 PACS numbers: 45.65.Sf, 45.65.Tg