Abstract
The generation and nonlinear dynamics of multi-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 one-, two-, and three-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 even asymmetric input pulse from this domain leads to stable dissipative solitons and light bullets.
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