Akhmediev, NailSoto-Crespo, J. M.Grelu, Philippe2015-11-022015-11-021054-1500http://hdl.handle.net/1885/16202Nonlinear dissipative systems display the full (3+1)D spatiotemporal dynamics of stable optical solitons. We review recent results that were obtained within the complex cubic-quintic Ginzburg-Landau equation model. Numerical simulations reveal the existence of stationary bell-shaped (3+1)D solitons for both anomalous and normal chromatic dispersion regimes, as well as the formation of double soliton complexes. We provide additional insight concerning the possible dynamics of these soliton complexes, consider collision cases between two solitons, and discuss the ways nonstationary evolution can lead to optical pattern formation.N.A. acknowledges support from the Australian Research Council. The work of J.M.S.-C. was supported by the M.E.y C. under Contract No. FIS2006-03376 and P.G. acknowledges support from Agence Nationale de la Recherche.http://www.sherpa.ac.uk/romeo/issn/1054-1500..."Publishers version/PDF may be used on author's personal website, institutional website or institutional repository" from SHERPA/RoMEO site (as at 2/11/15). Copyright 2007 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Chaos: An Interdisciplinary Journal of Nonlinear Science and may be found at https://doi.org/10.1063/1.27468302007-09-2810.1063/1.27468302015-12-08