Zigzag and Eckhaus instabilities in a quintic-order nonvariational Ginzburg-Landau equation
Zigzag and Eckhaus instabilities in a quintic-order nonvariational Ginzburg-Landau equation
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.
7315-7318
Hoyle, R. B.
e980d6a8-b750-491b-be13-84d695f8b8a1
1 December 1998
Hoyle, R. B.
e980d6a8-b750-491b-be13-84d695f8b8a1
Hoyle, R. B.
(1998)
Zigzag and Eckhaus instabilities in a quintic-order nonvariational Ginzburg-Landau equation.
Physical Review E, 58 (6), .
(doi:10.1103/PhysRevE.58.7315).
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.
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Published date: 1 December 1998
Organisations:
Mathematical Sciences
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Local EPrints ID: 380308
URI: http://eprints.soton.ac.uk/id/eprint/380308
ISSN: 1539-3755
PURE UUID: 5909e638-ab31-499a-ab5a-668f8b2c6165
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Date deposited: 12 Aug 2015 09:31
Last modified: 15 Mar 2024 03:36
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