Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons

✍ Scribed by Joceline Lega; Stephan Fauve

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 978 KB
• Volume: 102
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(96)00218-7

✦ Synopsis

We describe complex Ginzburg-Landau (CGL) traveling hole solutions as singular perturbations of nonlinear Schrrdinger (NLS) dark solitons. Modulation of the free parameters of the NLS solutions leads to a dynamical system describing the CGL dynamics in the vicinity of a traveling hole solution.