The world of the complex Ginzburg-Landau equation Aranson, Igor S; Kramer, Lorenz [Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)]; Physikalisches Institut, University of Bayreuth, D-95440 Bayreuth (Germany)] 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BOSE-EINSTEIN CONDENSATION; GINZBURG-LANDAU THEORY; LIQUID CRYSTALS; PARTIAL DIFFERENTIAL EQUATIONS; SUPERCONDUCTIVITY; SUPERFLUIDITY The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear equations in the physics community. It describes a vast variety of phenomena from nonlinear waves to second-order phase transitions, from superconductivity, superfluidity, and Bose-Einstein condensation to liquid crystals and strings in field theory. The authors give an overview of various phenomena described by the complex Ginzburg-Landau equation in one, two, and three dimensions from the point of view of condensed-matter physicists. Their aim is to study the relevant solutions in order to gain insight into nonequilibrium phenomena in spatially extended systems. United States 2002-01-01 English Journal Article Journal Name: Reviews of Modern Physics; Journal Volume: 74; Journal Issue: 1; Other Information: DOI: 10.1103/RevModPhys.74.99; (c) 2002 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); PBD: Jan 2002 Medium: X; Size: page(s) 99-143 https://doi.org/10.1103/RevModPhys.74.99 Contract no. W-31-109-ENG-38 [] 1 74 Journal ID: ISSN 0034-6861; RMPHAT; Other: Contract no. W-31-109-ENG-38; TRN: US03B8277008828 INIS 2010-12-31 20425423