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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.
Research output not available from this repository, contact author.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: |
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| Volume: | 27 | ||||
| Number: | 15 | ||||
| Number of Pages: | 11 | ||||
| Page Range: | pp. 5313-5323 | ||||
| Publication Status: | Published |
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