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

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.
1539-3755
7315-7318
Hoyle, R. B.
e980d6a8-b750-491b-be13-84d695f8b8a1
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), 7315-7318. (doi:10.1103/PhysRevE.58.7315).

Record type: Article

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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More information

Published date: 1 December 1998
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 380308
URI: https://eprints.soton.ac.uk/id/eprint/380308
ISSN: 1539-3755
PURE UUID: 5909e638-ab31-499a-ab5a-668f8b2c6165
ORCID for R. B. Hoyle: ORCID iD orcid.org/0000-0002-1645-1071

Catalogue record

Date deposited: 12 Aug 2015 09:31
Last modified: 06 Jun 2018 12:33

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