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STABILITY ANALYSIS OF THE DISCRETE LANDAU-GINSBURG EQUATION

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UNSPECIFIED (1994) STABILITY ANALYSIS OF THE DISCRETE LANDAU-GINSBURG EQUATION. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 27 (15). pp. 5313-5323.

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Abstract

The stability of time-independent solutions of a class of discrete nonlinear equations is investigated by extending a method developed earlier to study the stability of the static solutions of the continuous Landau-Ginsburg equation. A simple necessary condition for stability is found and it is shown that all nonlinear wave solutions are unstable while soliton and kink solutions may be stable. A further method is introduced which shows that the soliton solution is in fact unstable whilst the kink is marginally stable.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Journal or Publication Title: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Publisher: IOP PUBLISHING LTD
ISSN: 0305-4470
Official Date: 7 August 1994
Dates:
DateEvent
7 August 1994UNSPECIFIED
Volume: 27
Number: 15
Number of Pages: 11
Page Range: pp. 5313-5323
Publication Status: Published

Data sourced from Thomson Reuters' Web of Knowledge

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