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DETERMINATION OF THE GROWTH-RATE FOR THE LINEARIZED ZAKHAROV-KUZNETSOV EQUATION
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UNSPECIFIED (1993) DETERMINATION OF THE GROWTH-RATE FOR THE LINEARIZED ZAKHAROV-KUZNETSOV EQUATION. JOURNAL OF PLASMA PHYSICS, 50 (Part 3). pp. 413-424. ISSN 0022-3778
Full text not available from this repository.Abstract
Studies of the Zakharov-Kuznetsov equation governing solitons in a strongly magnetized ion-acoustic plasma indicate that a perturbed flat soliton is unstable and evolves into higher-dimensional solitons. The growth rate gamma = gamma(k) of a small sinusoidal perturbation of wavenumber k to a flat soliton has already been found numerically, and lengthy analytical work has given the value of dgamma/dk at k = 0. We introduce a more direct analytical method in the form of an extension to the usual multiple-scale perturbation approach and use it to determine a consistent expansion of gamma about k = 0 and the other zero at k2 = 5. By combining these results in the form of a two-point Pade approximant, we obtain an analytical expression for gamma valid over the entire range of k for which the solution is unstable. We also present a very efficient numerical method for determining the growth rate curve to great accuracy. The Pade approximant gives excellent agreement with the numerical results.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Journal or Publication Title: | JOURNAL OF PLASMA PHYSICS |
| Publisher: | CAMBRIDGE UNIV PRESS |
| ISSN: | 0022-3778 |
| Date: | December 1993 |
| Volume: | 50 |
| Number: | Part 3 |
| Number of Pages: | 12 |
| Page Range: | pp. 413-424 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/20354 |
Data sourced from Thomson Reuters' Web of Knowledge
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