| The generation and nonlinear dynamics of multi-dimensional optical dissipative solitonic pulses are examined. The variational method is generalized to complex dissipative systems, in order to obtain steady state solutions of the (D+1)-dimensional complex cubic-quintic Ginzburg-Landau equation (D=1, 2, 3). A stability criterion is established fixing a domain of dissipative parameters for stable steady state solutions. Evolution of any input pulse from this domain leads to stable dissipative solitons. |
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