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

Rebecca B. Hoyle | Zendy

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

Author(s) -

Rebecca B. Hoyle

Publication year - 1998

Publication title -

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Language(s) - English

Resource type - Journals

eISSN - 1095-3787

pISSN - 1063-651X

DOI - 10.1103/physreve.58.7315

Subject(s) - zigzag , quintic function , instability , physics , space (punctuation) , order (exchange) , classical mechanics , condensed matter physics , mathematical physics , quantum mechanics , nonlinear system , mathematics , geometry , finance , economics , linguistics , philosophy

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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