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Zigzag and Eckhaus instabilities in a quintic-order nonvariational Ginzburg-Landau equation

Hoyle, Rebecca B. (1998) Zigzag and Eckhaus instabilities in a quintic-order nonvariational Ginzburg-Landau equation Physical Review E, 58 (6). pp. 7315-7318. ISSN 1063-651X

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Abstract

A nonvariational Ginzburg-Landau equation with quintic and space-dependent cubic terms is investigated. It is found that the equation permits both sub- and supercritical zigzag and Eckhaus instabilities and further that the zigzag instability may occur for patterns with wave number larger than critical (q > 0), in contrast to the usual case.

Item Type: Article
Additional Information: Published in Physical Review E, 58, 7315-7318. © 1998 The American Physical Society.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1489

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