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Zigzag and Eckhaus instabilities in a quintic-order nonvariational Ginzburg-Landau equation
Journal article   Open access  Peer reviewed

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

Rebecca B. Hoyle
Physical Review E, Vol.58(6), pp.7315-7318
Physical Review E
01/12/1998

Abstract

<p>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 (<i>q</i> > 0), in contrast to the usual case.</p>
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