Abstract
We study analytically a system sustaining stable moving localized structures, namely, the one-dimensional quintic complex Ginzburg-Landau (G-L) equation with non-linear gradients. We obtain approximate solutions for the stable moving pulse and its velocity. The results are in excellent agreement with direct numerical simulations.
Original language | English |
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Pages (from-to) | 9-15 |
Number of pages | 7 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 342 |
Issue number | 1-2 SPEC. ISS. |
DOIs | |
State | Published - 15 Oct 2004 |
Bibliographical note
Funding Information:O.D thanks the support of FAI (Universidad de los Andes, Project “Sistemas Reacción-Difusión Lejos del equilibrio”). E.T wish to thank FONDECYT (P.1020374) and FONDAP (P.11980002).
Keywords
- Ginzburg-Landau equation
- Moving localized structures