Stability criterion for dissipative soliton solutions of the one-, two-, and three-dimensional complex cubic-quintic Ginzburg-Landau equations

被引:153
作者
Skarka, V
Aleksic, NB
机构
[1] Univ Angers, CNRS, UMR 6136, Lab POMA, F-49045 Angers 1, France
[2] Inst Phys, Belgrade 11000, Serbia Monteneg
关键词
D O I
10.1103/PhysRevLett.96.013903
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The generation and nonlinear dynamics of multidimensional optical dissipative solitonic pulses are examined. The variational method is extended 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. Following numerical simulations, evolution of any input pulse from this domain leads to stable dissipative solitons.
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页数:4
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