Pattern formation by kicked solitons in the two-dimensional Ginzburg-Landau medium with a transverse grating

We consider the kick- (tilt-) induced mobility of two-dimensional (2D) fundamental dissipative solitons in models of bulk lasing media based on the 2D complex Ginzburg-Landau equation including a spatially periodic potential (transverse grating). The depinning threshold, which depends on the orienta...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2013-01, Vol.87 (1), p.012916-012916, Article 012916
Main Authors: Besse, Valentin, Leblond, Hervé, Mihalache, Dumitru, Malomed, Boris A
Format: Article
Language:English
Subjects:
Computer Simulation
Lasers
Models, Theoretical
Physics
Refractometry - methods
Scattering, Radiation
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Summary:We consider the kick- (tilt-) induced mobility of two-dimensional (2D) fundamental dissipative solitons in models of bulk lasing media based on the 2D complex Ginzburg-Landau equation including a spatially periodic potential (transverse grating). The depinning threshold, which depends on the orientation of the kick, is identified by means of systematic simulations and estimated by means of an analytical approximation. Various pattern-formation scenarios are found above the threshold. Most typically, the soliton, hopping between potential cells, leaves arrayed patterns of different sizes in its wake. In the single-pass-amplifier setup, this effect may be used as a mechanism for the selective pattern formation controlled by the tilt of the input beam. Freely moving solitons feature two distinct values of the established velocity. Elastic and inelastic collisions between free solitons and pinned arrayed patterns are studied too.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.87.012916