Abstract
We describe complex Ginzburg-Landau (CGL) traveling hole solutions as singular perturbations of nonlinear Schrödinger (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.
Original language | English (US) |
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Pages (from-to) | 234-252 |
Number of pages | 19 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 102 |
Issue number | 3-4 |
DOIs | |
State | Published - 1997 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics