Spatiotemporal solitons in the Ginzburg-Landau model with a two-dimensional transverse grating

D. Mihalache*, D. Mazilu, F. Lederer, H. Leblond, B. A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We explore families of spatiotemporal dissipative solitons in a model of three-dimensional (3D) laser cavities including a combination of gain, saturable absorption, and transverse grating. The model is based on the complex Ginzburg-Landau equation with the cubic-quintic nonlinearity and a two-dimensional (2D) periodic potential representing the grating. Fundamental and vortical solitons are found in a numerical form as attractors in this model and their stability against strong random perturbations is tested by direct simulations. The fundamental solitons are completely stable while the vortices, built as rhombus-shaped complexes of four fundamental solitons, may be split by perturbations into their constituents separating in the temporal direction. Nevertheless, a sufficiently strong grating makes the vortices practically stable objects.

Original languageEnglish
Article number025801
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number2
StatePublished - 12 Feb 2010


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